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Finding the Fourth Proportional to 330.68, 495.93 and 147.97

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Solution

The fourth proportional to 330.68, 495.93 and 147.97 is: 221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.68 : 495.93 = 147.97 : x
  2. Step 2: Convert to fraction form
    330.68/495.93 = 147.97/x
  3. Step 3: Cross multiply
    330.68x = 495.93 × 147.97
  4. Step 4: Simplify right side
    330.68x = 73,382.76
  5. Step 5: Solve for x
    x = 73,382.76/330.68
  6. Step 6: Final answer
    x = 221.91

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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.