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Finding the Fourth Proportional to 159.80, 239.48 and 73.11

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Solution

The fourth proportional to 159.80, 239.48 and 73.11 is: 109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.80 : 239.48 = 73.11 : x
  2. Step 2: Convert to fraction form
    159.80/239.48 = 73.11/x
  3. Step 3: Cross multiply
    159.80x = 239.48 × 73.11
  4. Step 4: Simplify right side
    159.80x = 17,508.22
  5. Step 5: Solve for x
    x = 17,508.22/159.80
  6. Step 6: Final answer
    x = 109.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.