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Finding the Fourth Proportional to 74.92, 111.69 and 74.24

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Solution

The fourth proportional to 74.92, 111.69 and 74.24 is: 110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.92 : 111.69 = 74.24 : x
  2. Step 2: Convert to fraction form
    74.92/111.69 = 74.24/x
  3. Step 3: Cross multiply
    74.92x = 111.69 × 74.24
  4. Step 4: Simplify right side
    74.92x = 8,291.87
  5. Step 5: Solve for x
    x = 8,291.87/74.92
  6. Step 6: Final answer
    x = 110.68

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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.