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Finding the Fourth Proportional to 151.03, 226.76 and 77.96

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Solution

The fourth proportional to 151.03, 226.76 and 77.96 is: 117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.03 : 226.76 = 77.96 : x
  2. Step 2: Convert to fraction form
    151.03/226.76 = 77.96/x
  3. Step 3: Cross multiply
    151.03x = 226.76 × 77.96
  4. Step 4: Simplify right side
    151.03x = 17,676.69
  5. Step 5: Solve for x
    x = 17,676.69/151.03
  6. Step 6: Final answer
    x = 117.04

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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.