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Finding the Fourth Proportional to 63.38, 94.90 and 53.22

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Solution

The fourth proportional to 63.38, 94.90 and 53.22 is: 79.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.38 : 94.90 = 53.22 : x
  2. Step 2: Convert to fraction form
    63.38/94.90 = 53.22/x
  3. Step 3: Cross multiply
    63.38x = 94.90 × 53.22
  4. Step 4: Simplify right side
    63.38x = 5,050.58
  5. Step 5: Solve for x
    x = 5,050.58/63.38
  6. Step 6: Final answer
    x = 79.69

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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.