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Finding the Fourth Proportional to 239.20, 356.78 and 218.24

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Solution

The fourth proportional to 239.20, 356.78 and 218.24 is: 325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.20 : 356.78 = 218.24 : x
  2. Step 2: Convert to fraction form
    239.20/356.78 = 218.24/x
  3. Step 3: Cross multiply
    239.20x = 356.78 × 218.24
  4. Step 4: Simplify right side
    239.20x = 77,863.67
  5. Step 5: Solve for x
    x = 77,863.67/239.20
  6. Step 6: Final answer
    x = 325.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.