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Finding the Fourth Proportional to 276.10, 414.15 and 93.47

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Solution

The fourth proportional to 276.10, 414.15 and 93.47 is: 140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.10 : 414.15 = 93.47 : x
  2. Step 2: Convert to fraction form
    276.10/414.15 = 93.47/x
  3. Step 3: Cross multiply
    276.10x = 414.15 × 93.47
  4. Step 4: Simplify right side
    276.10x = 38,711.64
  5. Step 5: Solve for x
    x = 38,711.64/276.10
  6. Step 6: Final answer
    x = 140.21

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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.