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Finding the Fourth Proportional to 240.38, 362.44 and 237.80

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Solution

The fourth proportional to 240.38, 362.44 and 237.80 is: 358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.38 : 362.44 = 237.80 : x
  2. Step 2: Convert to fraction form
    240.38/362.44 = 237.80/x
  3. Step 3: Cross multiply
    240.38x = 362.44 × 237.80
  4. Step 4: Simplify right side
    240.38x = 86,189.44
  5. Step 5: Solve for x
    x = 86,189.44/240.38
  6. Step 6: Final answer
    x = 358.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.