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Finding the Fourth Proportional to 75.92, 113.40 and 65.04

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Solution

The fourth proportional to 75.92, 113.40 and 65.04 is: 97.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.92 : 113.40 = 65.04 : x
  2. Step 2: Convert to fraction form
    75.92/113.40 = 65.04/x
  3. Step 3: Cross multiply
    75.92x = 113.40 × 65.04
  4. Step 4: Simplify right side
    75.92x = 7,375.11
  5. Step 5: Solve for x
    x = 7,375.11/75.92
  6. Step 6: Final answer
    x = 97.14

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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.