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Finding the Fourth Proportional to 475.66, 656.25 and 336.14

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Solution

The fourth proportional to 475.66, 656.25 and 336.14 is: 463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.66 : 656.25 = 336.14 : x
  2. Step 2: Convert to fraction form
    475.66/656.25 = 336.14/x
  3. Step 3: Cross multiply
    475.66x = 656.25 × 336.14
  4. Step 4: Simplify right side
    475.66x = 220,591.88
  5. Step 5: Solve for x
    x = 220,591.88/475.66
  6. Step 6: Final answer
    x = 463.76

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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.