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Finding the Fourth Proportional to 160.73, 240.92 and 92.10

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Solution

The fourth proportional to 160.73, 240.92 and 92.10 is: 138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.73 : 240.92 = 92.10 : x
  2. Step 2: Convert to fraction form
    160.73/240.92 = 92.10/x
  3. Step 3: Cross multiply
    160.73x = 240.92 × 92.10
  4. Step 4: Simplify right side
    160.73x = 22,188.27
  5. Step 5: Solve for x
    x = 22,188.27/160.73
  6. Step 6: Final answer
    x = 138.05

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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.