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Finding the Fourth Proportional to 475.54, 655.92 and 288.70

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Solution

The fourth proportional to 475.54, 655.92 and 288.70 is: 398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.54 : 655.92 = 288.70 : x
  2. Step 2: Convert to fraction form
    475.54/655.92 = 288.70/x
  3. Step 3: Cross multiply
    475.54x = 655.92 × 288.70
  4. Step 4: Simplify right side
    475.54x = 189,364.10
  5. Step 5: Solve for x
    x = 189,364.10/475.54
  6. Step 6: Final answer
    x = 398.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.