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Finding the Fourth Proportional to 475.68, 712.88 and 187.04

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Solution

The fourth proportional to 475.68, 712.88 and 187.04 is: 280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.68 : 712.88 = 187.04 : x
  2. Step 2: Convert to fraction form
    475.68/712.88 = 187.04/x
  3. Step 3: Cross multiply
    475.68x = 712.88 × 187.04
  4. Step 4: Simplify right side
    475.68x = 133,337.08
  5. Step 5: Solve for x
    x = 133,337.08/475.68
  6. Step 6: Final answer
    x = 280.31

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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.