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Finding the Fourth Proportional to 276.50, 414.84 and 84.13

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Solution

The fourth proportional to 276.50, 414.84 and 84.13 is: 126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.50 : 414.84 = 84.13 : x
  2. Step 2: Convert to fraction form
    276.50/414.84 = 84.13/x
  3. Step 3: Cross multiply
    276.50x = 414.84 × 84.13
  4. Step 4: Simplify right side
    276.50x = 34,898.42
  5. Step 5: Solve for x
    x = 34,898.42/276.50
  6. Step 6: Final answer
    x = 126.21

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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.