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Finding the Fourth Proportional to 149.64, 225.24 and 115.56

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Solution

The fourth proportional to 149.64, 225.24 and 115.56 is: 173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.64 : 225.24 = 115.56 : x
  2. Step 2: Convert to fraction form
    149.64/225.24 = 115.56/x
  3. Step 3: Cross multiply
    149.64x = 225.24 × 115.56
  4. Step 4: Simplify right side
    149.64x = 26,028.73
  5. Step 5: Solve for x
    x = 26,028.73/149.64
  6. Step 6: Final answer
    x = 173.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.