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Finding the Fourth Proportional to 239.76, 329.68 and 192.52

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Solution

The fourth proportional to 239.76, 329.68 and 192.52 is: 264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.76 : 329.68 = 192.52 : x
  2. Step 2: Convert to fraction form
    239.76/329.68 = 192.52/x
  3. Step 3: Cross multiply
    239.76x = 329.68 × 192.52
  4. Step 4: Simplify right side
    239.76x = 63,469.99
  5. Step 5: Solve for x
    x = 63,469.99/239.76
  6. Step 6: Final answer
    x = 264.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.