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Finding the Fourth Proportional to 276.38, 414.49 and 146.31

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Solution

The fourth proportional to 276.38, 414.49 and 146.31 is: 219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.38 : 414.49 = 146.31 : x
  2. Step 2: Convert to fraction form
    276.38/414.49 = 146.31/x
  3. Step 3: Cross multiply
    276.38x = 414.49 × 146.31
  4. Step 4: Simplify right side
    276.38x = 60,643.30
  5. Step 5: Solve for x
    x = 60,643.30/276.38
  6. Step 6: Final answer
    x = 219.42

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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.