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Finding the Fourth Proportional to 255.74, 383.56 and 82.38

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Solution

The fourth proportional to 255.74, 383.56 and 82.38 is: 123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.74 : 383.56 = 82.38 : x
  2. Step 2: Convert to fraction form
    255.74/383.56 = 82.38/x
  3. Step 3: Cross multiply
    255.74x = 383.56 × 82.38
  4. Step 4: Simplify right side
    255.74x = 31,597.74
  5. Step 5: Solve for x
    x = 31,597.74/255.74
  6. Step 6: Final answer
    x = 123.56

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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.