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Finding the Fourth Proportional to 239.47, 360.49 and 217.12

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Solution

The fourth proportional to 239.47, 360.49 and 217.12 is: 326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.47 : 360.49 = 217.12 : x
  2. Step 2: Convert to fraction form
    239.47/360.49 = 217.12/x
  3. Step 3: Cross multiply
    239.47x = 360.49 × 217.12
  4. Step 4: Simplify right side
    239.47x = 78,269.59
  5. Step 5: Solve for x
    x = 78,269.59/239.47
  6. Step 6: Final answer
    x = 326.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.