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Finding the Fourth Proportional to 151.22, 226.92 and 74.18

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Solution

The fourth proportional to 151.22, 226.92 and 74.18 is: 111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.22 : 226.92 = 74.18 : x
  2. Step 2: Convert to fraction form
    151.22/226.92 = 74.18/x
  3. Step 3: Cross multiply
    151.22x = 226.92 × 74.18
  4. Step 4: Simplify right side
    151.22x = 16,832.93
  5. Step 5: Solve for x
    x = 16,832.93/151.22
  6. Step 6: Final answer
    x = 111.31

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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.