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Finding the Fourth Proportional to 159.80, 239.65 and 89.44

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Solution

The fourth proportional to 159.80, 239.65 and 89.44 is: 134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.80 : 239.65 = 89.44 : x
  2. Step 2: Convert to fraction form
    159.80/239.65 = 89.44/x
  3. Step 3: Cross multiply
    159.80x = 239.65 × 89.44
  4. Step 4: Simplify right side
    159.80x = 21,433.47
  5. Step 5: Solve for x
    x = 21,433.47/159.80
  6. Step 6: Final answer
    x = 134.12

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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.