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Finding the Fourth Proportional to 149.56, 224.16 and 77.20

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Solution

The fourth proportional to 149.56, 224.16 and 77.20 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.56 : 224.16 = 77.20 : x
  2. Step 2: Convert to fraction form
    149.56/224.16 = 77.20/x
  3. Step 3: Cross multiply
    149.56x = 224.16 × 77.20
  4. Step 4: Simplify right side
    149.56x = 17,305.15
  5. Step 5: Solve for x
    x = 17,305.15/149.56
  6. Step 6: Final answer
    x = 115.71

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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.