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Finding the Fourth Proportional to 185.71, 276.92 and 173.15

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Solution

The fourth proportional to 185.71, 276.92 and 173.15 is: 258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.71 : 276.92 = 173.15 : x
  2. Step 2: Convert to fraction form
    185.71/276.92 = 173.15/x
  3. Step 3: Cross multiply
    185.71x = 276.92 × 173.15
  4. Step 4: Simplify right side
    185.71x = 47,947.31
  5. Step 5: Solve for x
    x = 47,947.31/185.71
  6. Step 6: Final answer
    x = 258.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.