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Finding the Fourth Proportional to 432.67, 649.01 and 144.10

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Solution

The fourth proportional to 432.67, 649.01 and 144.10 is: 216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.67 : 649.01 = 144.10 : x
  2. Step 2: Convert to fraction form
    432.67/649.01 = 144.10/x
  3. Step 3: Cross multiply
    432.67x = 649.01 × 144.10
  4. Step 4: Simplify right side
    432.67x = 93,522.34
  5. Step 5: Solve for x
    x = 93,522.34/432.67
  6. Step 6: Final answer
    x = 216.15

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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.