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Finding the Fourth Proportional to 151.02, 226.56 and 120.78

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Solution

The fourth proportional to 151.02, 226.56 and 120.78 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.02 : 226.56 = 120.78 : x
  2. Step 2: Convert to fraction form
    151.02/226.56 = 120.78/x
  3. Step 3: Cross multiply
    151.02x = 226.56 × 120.78
  4. Step 4: Simplify right side
    151.02x = 27,363.92
  5. Step 5: Solve for x
    x = 27,363.92/151.02
  6. Step 6: Final answer
    x = 181.19

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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.