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Finding the Fourth Proportional to 63.90, 95.30 and 57.42

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Solution

The fourth proportional to 63.90, 95.30 and 57.42 is: 85.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.90 : 95.30 = 57.42 : x
  2. Step 2: Convert to fraction form
    63.90/95.30 = 57.42/x
  3. Step 3: Cross multiply
    63.90x = 95.30 × 57.42
  4. Step 4: Simplify right side
    63.90x = 5,472.27
  5. Step 5: Solve for x
    x = 5,472.27/63.90
  6. Step 6: Final answer
    x = 85.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.