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Finding the Fourth Proportional to 487.36, 731.05 and 140.74

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Solution

The fourth proportional to 487.36, 731.05 and 140.74 is: 211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.36 : 731.05 = 140.74 : x
  2. Step 2: Convert to fraction form
    487.36/731.05 = 140.74/x
  3. Step 3: Cross multiply
    487.36x = 731.05 × 140.74
  4. Step 4: Simplify right side
    487.36x = 102,887.98
  5. Step 5: Solve for x
    x = 102,887.98/487.36
  6. Step 6: Final answer
    x = 211.11

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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.