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Finding the Fourth Proportional to 487.24, 729.43 and 281.18

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Solution

The fourth proportional to 487.24, 729.43 and 281.18 is: 420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.24 : 729.43 = 281.18 : x
  2. Step 2: Convert to fraction form
    487.24/729.43 = 281.18/x
  3. Step 3: Cross multiply
    487.24x = 729.43 × 281.18
  4. Step 4: Simplify right side
    487.24x = 205,101.13
  5. Step 5: Solve for x
    x = 205,101.13/487.24
  6. Step 6: Final answer
    x = 420.94

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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.