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Finding the Fourth Proportional to 487.82, 731.16 and 230.78

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Solution

The fourth proportional to 487.82, 731.16 and 230.78 is: 345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.82 : 731.16 = 230.78 : x
  2. Step 2: Convert to fraction form
    487.82/731.16 = 230.78/x
  3. Step 3: Cross multiply
    487.82x = 731.16 × 230.78
  4. Step 4: Simplify right side
    487.82x = 168,737.10
  5. Step 5: Solve for x
    x = 168,737.10/487.82
  6. Step 6: Final answer
    x = 345.90

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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.