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Finding the Fourth Proportional to 410.19, 565.80 and 310.20

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Solution

The fourth proportional to 410.19, 565.80 and 310.20 is: 427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.19 : 565.80 = 310.20 : x
  2. Step 2: Convert to fraction form
    410.19/565.80 = 310.20/x
  3. Step 3: Cross multiply
    410.19x = 565.80 × 310.20
  4. Step 4: Simplify right side
    410.19x = 175,511.16
  5. Step 5: Solve for x
    x = 175,511.16/410.19
  6. Step 6: Final answer
    x = 427.88

Related Problems

Find fourth proportional to 205.10, 282.90 and 155.10
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.