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Finding the Fourth Proportional to 276.72, 381.71 and 166.15

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Solution

The fourth proportional to 276.72, 381.71 and 166.15 is: 229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.72 : 381.71 = 166.15 : x
  2. Step 2: Convert to fraction form
    276.72/381.71 = 166.15/x
  3. Step 3: Cross multiply
    276.72x = 381.71 × 166.15
  4. Step 4: Simplify right side
    276.72x = 63,421.12
  5. Step 5: Solve for x
    x = 63,421.12/276.72
  6. Step 6: Final answer
    x = 229.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.