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Finding the Fourth Proportional to 75.28, 113.42 and 74.68

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Solution

The fourth proportional to 75.28, 113.42 and 74.68 is: 112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.28 : 113.42 = 74.68 : x
  2. Step 2: Convert to fraction form
    75.28/113.42 = 74.68/x
  3. Step 3: Cross multiply
    75.28x = 113.42 × 74.68
  4. Step 4: Simplify right side
    75.28x = 8,470.21
  5. Step 5: Solve for x
    x = 8,470.21/75.28
  6. Step 6: Final answer
    x = 112.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.