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Finding the Fourth Proportional to 240.22, 357.92 and 229.74

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Solution

The fourth proportional to 240.22, 357.92 and 229.74 is: 342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.22 : 357.92 = 229.74 : x
  2. Step 2: Convert to fraction form
    240.22/357.92 = 229.74/x
  3. Step 3: Cross multiply
    240.22x = 357.92 × 229.74
  4. Step 4: Simplify right side
    240.22x = 82,228.54
  5. Step 5: Solve for x
    x = 82,228.54/240.22
  6. Step 6: Final answer
    x = 342.31

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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.