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Finding the Fourth Proportional to 314.75, 471.72 and 271.42

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Solution

The fourth proportional to 314.75, 471.72 and 271.42 is: 406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 471.72 = 271.42 : x
  2. Step 2: Convert to fraction form
    314.75/471.72 = 271.42/x
  3. Step 3: Cross multiply
    314.75x = 471.72 × 271.42
  4. Step 4: Simplify right side
    314.75x = 128,034.08
  5. Step 5: Solve for x
    x = 128,034.08/314.75
  6. Step 6: Final answer
    x = 406.78

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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.