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Finding the Fourth Proportional to 466.75, 644.15 and 292.21

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Solution

The fourth proportional to 466.75, 644.15 and 292.21 is: 403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.75 : 644.15 = 292.21 : x
  2. Step 2: Convert to fraction form
    466.75/644.15 = 292.21/x
  3. Step 3: Cross multiply
    466.75x = 644.15 × 292.21
  4. Step 4: Simplify right side
    466.75x = 188,227.07
  5. Step 5: Solve for x
    x = 188,227.07/466.75
  6. Step 6: Final answer
    x = 403.27

Related Problems

Find fourth proportional to 233.38, 322.08 and 146.11
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Double scale
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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.