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Finding the Fourth Proportional to 452.19, 624.30 and 312.26

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Solution

The fourth proportional to 452.19, 624.30 and 312.26 is: 431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.19 : 624.30 = 312.26 : x
  2. Step 2: Convert to fraction form
    452.19/624.30 = 312.26/x
  3. Step 3: Cross multiply
    452.19x = 624.30 × 312.26
  4. Step 4: Simplify right side
    452.19x = 194,940.80
  5. Step 5: Solve for x
    x = 194,940.80/452.19
  6. Step 6: Final answer
    x = 431.10

Related Problems

Find fourth proportional to 226.10, 312.15 and 156.13
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.