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Finding the Fourth Proportional to 475.55, 712.17 and 256.35

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Solution

The fourth proportional to 475.55, 712.17 and 256.35 is: 383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.55 : 712.17 = 256.35 : x
  2. Step 2: Convert to fraction form
    475.55/712.17 = 256.35/x
  3. Step 3: Cross multiply
    475.55x = 712.17 × 256.35
  4. Step 4: Simplify right side
    475.55x = 182,564.78
  5. Step 5: Solve for x
    x = 182,564.78/475.55
  6. Step 6: Final answer
    x = 383.91

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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.