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Finding the Fourth Proportional to 160.61, 240.96 and 98.93

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Solution

The fourth proportional to 160.61, 240.96 and 98.93 is: 148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.61 : 240.96 = 98.93 : x
  2. Step 2: Convert to fraction form
    160.61/240.96 = 98.93/x
  3. Step 3: Cross multiply
    160.61x = 240.96 × 98.93
  4. Step 4: Simplify right side
    160.61x = 23,836.97
  5. Step 5: Solve for x
    x = 23,836.97/160.61
  6. Step 6: Final answer
    x = 148.42

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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.