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Finding the Fourth Proportional to 382.40, 572.48 and 237.68

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Solution

The fourth proportional to 382.40, 572.48 and 237.68 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.40 : 572.48 = 237.68 : x
  2. Step 2: Convert to fraction form
    382.40/572.48 = 237.68/x
  3. Step 3: Cross multiply
    382.40x = 572.48 × 237.68
  4. Step 4: Simplify right side
    382.40x = 136,067.05
  5. Step 5: Solve for x
    x = 136,067.05/382.40
  6. Step 6: Final answer
    x = 355.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.