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Finding the Fourth Proportional to 265.93, 398.76 and 83.27

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Solution

The fourth proportional to 265.93, 398.76 and 83.27 is: 124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.93 : 398.76 = 83.27 : x
  2. Step 2: Convert to fraction form
    265.93/398.76 = 83.27/x
  3. Step 3: Cross multiply
    265.93x = 398.76 × 83.27
  4. Step 4: Simplify right side
    265.93x = 33,204.75
  5. Step 5: Solve for x
    x = 33,204.75/265.93
  6. Step 6: Final answer
    x = 124.86

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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.