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Finding the Fourth Proportional to 74.48, 111.24 and 57.29

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Solution

The fourth proportional to 74.48, 111.24 and 57.29 is: 85.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.48 : 111.24 = 57.29 : x
  2. Step 2: Convert to fraction form
    74.48/111.24 = 57.29/x
  3. Step 3: Cross multiply
    74.48x = 111.24 × 57.29
  4. Step 4: Simplify right side
    74.48x = 6,372.38
  5. Step 5: Solve for x
    x = 6,372.38/74.48
  6. Step 6: Final answer
    x = 85.56

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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.