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Finding the Fourth Proportional to 240.98, 332.57 and 137.48

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Solution

The fourth proportional to 240.98, 332.57 and 137.48 is: 189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.98 : 332.57 = 137.48 : x
  2. Step 2: Convert to fraction form
    240.98/332.57 = 137.48/x
  3. Step 3: Cross multiply
    240.98x = 332.57 × 137.48
  4. Step 4: Simplify right side
    240.98x = 45,721.04
  5. Step 5: Solve for x
    x = 45,721.04/240.98
  6. Step 6: Final answer
    x = 189.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.