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Finding the Fourth Proportional to 276.84, 414.65 and 114.03

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Solution

The fourth proportional to 276.84, 414.65 and 114.03 is: 170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.84 : 414.65 = 114.03 : x
  2. Step 2: Convert to fraction form
    276.84/414.65 = 114.03/x
  3. Step 3: Cross multiply
    276.84x = 414.65 × 114.03
  4. Step 4: Simplify right side
    276.84x = 47,281.97
  5. Step 5: Solve for x
    x = 47,281.97/276.84
  6. Step 6: Final answer
    x = 170.79

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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.