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Finding the Fourth Proportional to 160.87, 240.97 and 99.82

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Solution

The fourth proportional to 160.87, 240.97 and 99.82 is: 149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.87 : 240.97 = 99.82 : x
  2. Step 2: Convert to fraction form
    160.87/240.97 = 99.82/x
  3. Step 3: Cross multiply
    160.87x = 240.97 × 99.82
  4. Step 4: Simplify right side
    160.87x = 24,053.63
  5. Step 5: Solve for x
    x = 24,053.63/160.87
  6. Step 6: Final answer
    x = 149.52

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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.