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Finding the Fourth Proportional to 276.52, 381.70 and 166.06

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Solution

The fourth proportional to 276.52, 381.70 and 166.06 is: 229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.52 : 381.70 = 166.06 : x
  2. Step 2: Convert to fraction form
    276.52/381.70 = 166.06/x
  3. Step 3: Cross multiply
    276.52x = 381.70 × 166.06
  4. Step 4: Simplify right side
    276.52x = 63,382.36
  5. Step 5: Solve for x
    x = 63,382.36/276.52
  6. Step 6: Final answer
    x = 229.21

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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.