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Finding the Fourth Proportional to 96.27, 143.82 and 73.38

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Solution

The fourth proportional to 96.27, 143.82 and 73.38 is: 109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.27 : 143.82 = 73.38 : x
  2. Step 2: Convert to fraction form
    96.27/143.82 = 73.38/x
  3. Step 3: Cross multiply
    96.27x = 143.82 × 73.38
  4. Step 4: Simplify right side
    96.27x = 10,553.51
  5. Step 5: Solve for x
    x = 10,553.51/96.27
  6. Step 6: Final answer
    x = 109.62

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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.