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Finding the Fourth Proportional to 255.26, 380.96 and 237.92

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Solution

The fourth proportional to 255.26, 380.96 and 237.92 is: 355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.26 : 380.96 = 237.92 : x
  2. Step 2: Convert to fraction form
    255.26/380.96 = 237.92/x
  3. Step 3: Cross multiply
    255.26x = 380.96 × 237.92
  4. Step 4: Simplify right side
    255.26x = 90,634.91
  5. Step 5: Solve for x
    x = 90,634.91/255.26
  6. Step 6: Final answer
    x = 355.08

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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.