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Finding the Fourth Proportional to 238.97, 356.55 and 198.47

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Solution

The fourth proportional to 238.97, 356.55 and 198.47 is: 296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.97 : 356.55 = 198.47 : x
  2. Step 2: Convert to fraction form
    238.97/356.55 = 198.47/x
  3. Step 3: Cross multiply
    238.97x = 356.55 × 198.47
  4. Step 4: Simplify right side
    238.97x = 70,762.70
  5. Step 5: Solve for x
    x = 70,762.70/238.97
  6. Step 6: Final answer
    x = 296.12

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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.