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Finding the Fourth Proportional to 120.23, 179.92 and 93.23

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Solution

The fourth proportional to 120.23, 179.92 and 93.23 is: 139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 179.92 = 93.23 : x
  2. Step 2: Convert to fraction form
    120.23/179.92 = 93.23/x
  3. Step 3: Cross multiply
    120.23x = 179.92 × 93.23
  4. Step 4: Simplify right side
    120.23x = 16,773.94
  5. Step 5: Solve for x
    x = 16,773.94/120.23
  6. Step 6: Final answer
    x = 139.52

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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.