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Finding the Fourth Proportional to 92.38, 127.51 and 57.42

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Solution

The fourth proportional to 92.38, 127.51 and 57.42 is: 79.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.38 : 127.51 = 57.42 : x
  2. Step 2: Convert to fraction form
    92.38/127.51 = 57.42/x
  3. Step 3: Cross multiply
    92.38x = 127.51 × 57.42
  4. Step 4: Simplify right side
    92.38x = 7,321.62
  5. Step 5: Solve for x
    x = 7,321.62/92.38
  6. Step 6: Final answer
    x = 79.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.