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Finding the Fourth Proportional to 185.28, 278.04 and 149.28

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Solution

The fourth proportional to 185.28, 278.04 and 149.28 is: 224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 278.04 = 149.28 : x
  2. Step 2: Convert to fraction form
    185.28/278.04 = 149.28/x
  3. Step 3: Cross multiply
    185.28x = 278.04 × 149.28
  4. Step 4: Simplify right side
    185.28x = 41,505.81
  5. Step 5: Solve for x
    x = 41,505.81/185.28
  6. Step 6: Final answer
    x = 224.02

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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.