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Finding the Fourth Proportional to 255.92, 383.76 and 82.55

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Solution

The fourth proportional to 255.92, 383.76 and 82.55 is: 123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.92 : 383.76 = 82.55 : x
  2. Step 2: Convert to fraction form
    255.92/383.76 = 82.55/x
  3. Step 3: Cross multiply
    255.92x = 383.76 × 82.55
  4. Step 4: Simplify right side
    255.92x = 31,677.47
  5. Step 5: Solve for x
    x = 31,677.47/255.92
  6. Step 6: Final answer
    x = 123.78

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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.