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Finding the Fourth Proportional to 149.28, 224.04 and 106.56

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Solution

The fourth proportional to 149.28, 224.04 and 106.56 is: 159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.28 : 224.04 = 106.56 : x
  2. Step 2: Convert to fraction form
    149.28/224.04 = 106.56/x
  3. Step 3: Cross multiply
    149.28x = 224.04 × 106.56
  4. Step 4: Simplify right side
    149.28x = 23,873.70
  5. Step 5: Solve for x
    x = 23,873.70/149.28
  6. Step 6: Final answer
    x = 159.93

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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.