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Finding the Fourth Proportional to 74.57, 102.91 and 57.11

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Solution

The fourth proportional to 74.57, 102.91 and 57.11 is: 78.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.57 : 102.91 = 57.11 : x
  2. Step 2: Convert to fraction form
    74.57/102.91 = 57.11/x
  3. Step 3: Cross multiply
    74.57x = 102.91 × 57.11
  4. Step 4: Simplify right side
    74.57x = 5,876.68
  5. Step 5: Solve for x
    x = 5,876.68/74.57
  6. Step 6: Final answer
    x = 78.81

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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.