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Finding the Fourth Proportional to 329.92, 495.06 and 156.73

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Solution

The fourth proportional to 329.92, 495.06 and 156.73 is: 235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.92 : 495.06 = 156.73 : x
  2. Step 2: Convert to fraction form
    329.92/495.06 = 156.73/x
  3. Step 3: Cross multiply
    329.92x = 495.06 × 156.73
  4. Step 4: Simplify right side
    329.92x = 77,590.75
  5. Step 5: Solve for x
    x = 77,590.75/329.92
  6. Step 6: Final answer
    x = 235.18

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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.