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Finding the Fourth Proportional to 487.31, 731.00 and 240.65

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Solution

The fourth proportional to 487.31, 731.00 and 240.65 is: 360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.31 : 731.00 = 240.65 : x
  2. Step 2: Convert to fraction form
    487.31/731.00 = 240.65/x
  3. Step 3: Cross multiply
    487.31x = 731.00 × 240.65
  4. Step 4: Simplify right side
    487.31x = 175,912.10
  5. Step 5: Solve for x
    x = 175,912.10/487.31
  6. Step 6: Final answer
    x = 360.98

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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.