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Finding the Fourth Proportional to 276.97, 415.30 and 94.29

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Solution

The fourth proportional to 276.97, 415.30 and 94.29 is: 141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.97 : 415.30 = 94.29 : x
  2. Step 2: Convert to fraction form
    276.97/415.30 = 94.29/x
  3. Step 3: Cross multiply
    276.97x = 415.30 × 94.29
  4. Step 4: Simplify right side
    276.97x = 39,158.45
  5. Step 5: Solve for x
    x = 39,158.45/276.97
  6. Step 6: Final answer
    x = 141.38

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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.