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Finding the Fourth Proportional to 63.14, 94.55 and 52.19

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Solution

The fourth proportional to 63.14, 94.55 and 52.19 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.14 : 94.55 = 52.19 : x
  2. Step 2: Convert to fraction form
    63.14/94.55 = 52.19/x
  3. Step 3: Cross multiply
    63.14x = 94.55 × 52.19
  4. Step 4: Simplify right side
    63.14x = 4,934.30
  5. Step 5: Solve for x
    x = 4,934.30/63.14
  6. Step 6: Final answer
    x = 78.15

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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.