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Finding the Fourth Proportional to 73.14, 100.29 and 65.85

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Solution

The fourth proportional to 73.14, 100.29 and 65.85 is: 90.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.14 : 100.29 = 65.85 : x
  2. Step 2: Convert to fraction form
    73.14/100.29 = 65.85/x
  3. Step 3: Cross multiply
    73.14x = 100.29 × 65.85
  4. Step 4: Simplify right side
    73.14x = 6,604.10
  5. Step 5: Solve for x
    x = 6,604.10/73.14
  6. Step 6: Final answer
    x = 90.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.