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Finding the Fourth Proportional to 219.71, 329.40 and 151.38

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Solution

The fourth proportional to 219.71, 329.40 and 151.38 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.71 : 329.40 = 151.38 : x
  2. Step 2: Convert to fraction form
    219.71/329.40 = 151.38/x
  3. Step 3: Cross multiply
    219.71x = 329.40 × 151.38
  4. Step 4: Simplify right side
    219.71x = 49,864.57
  5. Step 5: Solve for x
    x = 49,864.57/219.71
  6. Step 6: Final answer
    x = 226.95

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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.