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Finding the Fourth Proportional to 63.42, 95.52 and 57.87

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Solution

The fourth proportional to 63.42, 95.52 and 57.87 is: 87.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.42 : 95.52 = 57.87 : x
  2. Step 2: Convert to fraction form
    63.42/95.52 = 57.87/x
  3. Step 3: Cross multiply
    63.42x = 95.52 × 57.87
  4. Step 4: Simplify right side
    63.42x = 5,527.74
  5. Step 5: Solve for x
    x = 5,527.74/63.42
  6. Step 6: Final answer
    x = 87.16

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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.