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Finding the Fourth Proportional to 276.74, 415.13 and 114.47

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Solution

The fourth proportional to 276.74, 415.13 and 114.47 is: 171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.74 : 415.13 = 114.47 : x
  2. Step 2: Convert to fraction form
    276.74/415.13 = 114.47/x
  3. Step 3: Cross multiply
    276.74x = 415.13 × 114.47
  4. Step 4: Simplify right side
    276.74x = 47,517.28
  5. Step 5: Solve for x
    x = 47,517.28/276.74
  6. Step 6: Final answer
    x = 171.71

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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.