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Finding the Fourth Proportional to 240.47, 358.79 and 199.97

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Solution

The fourth proportional to 240.47, 358.79 and 199.97 is: 298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.47 : 358.79 = 199.97 : x
  2. Step 2: Convert to fraction form
    240.47/358.79 = 199.97/x
  3. Step 3: Cross multiply
    240.47x = 358.79 × 199.97
  4. Step 4: Simplify right side
    240.47x = 71,744.44
  5. Step 5: Solve for x
    x = 71,744.44/240.47
  6. Step 6: Final answer
    x = 298.36

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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.