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Finding the Fourth Proportional to 73.91, 101.97 and 42.83

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Solution

The fourth proportional to 73.91, 101.97 and 42.83 is: 59.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.91 : 101.97 = 42.83 : x
  2. Step 2: Convert to fraction form
    73.91/101.97 = 42.83/x
  3. Step 3: Cross multiply
    73.91x = 101.97 × 42.83
  4. Step 4: Simplify right side
    73.91x = 4,366.87
  5. Step 5: Solve for x
    x = 4,366.87/73.91
  6. Step 6: Final answer
    x = 59.09

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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.