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Finding the Fourth Proportional to 276.24, 414.16 and 83.76

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Solution

The fourth proportional to 276.24, 414.16 and 83.76 is: 125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 414.16 = 83.76 : x
  2. Step 2: Convert to fraction form
    276.24/414.16 = 83.76/x
  3. Step 3: Cross multiply
    276.24x = 414.16 × 83.76
  4. Step 4: Simplify right side
    276.24x = 34,690.04
  5. Step 5: Solve for x
    x = 34,690.04/276.24
  6. Step 6: Final answer
    x = 125.58

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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.