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Finding the Fourth Proportional to 312.53, 471.24 and 272.43

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Solution

The fourth proportional to 312.53, 471.24 and 272.43 is: 410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.53 : 471.24 = 272.43 : x
  2. Step 2: Convert to fraction form
    312.53/471.24 = 272.43/x
  3. Step 3: Cross multiply
    312.53x = 471.24 × 272.43
  4. Step 4: Simplify right side
    312.53x = 128,379.91
  5. Step 5: Solve for x
    x = 128,379.91/312.53
  6. Step 6: Final answer
    x = 410.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.