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Finding the Fourth Proportional to 185.27, 278.54 and 149.45

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Solution

The fourth proportional to 185.27, 278.54 and 149.45 is: 224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.27 : 278.54 = 149.45 : x
  2. Step 2: Convert to fraction form
    185.27/278.54 = 149.45/x
  3. Step 3: Cross multiply
    185.27x = 278.54 × 149.45
  4. Step 4: Simplify right side
    185.27x = 41,627.06
  5. Step 5: Solve for x
    x = 41,627.06/185.27
  6. Step 6: Final answer
    x = 224.68

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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.