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Finding the Fourth Proportional to 215.25, 297.15 and 132.43

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Solution

The fourth proportional to 215.25, 297.15 and 132.43 is: 182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.25 : 297.15 = 132.43 : x
  2. Step 2: Convert to fraction form
    215.25/297.15 = 132.43/x
  3. Step 3: Cross multiply
    215.25x = 297.15 × 132.43
  4. Step 4: Simplify right side
    215.25x = 39,351.57
  5. Step 5: Solve for x
    x = 39,351.57/215.25
  6. Step 6: Final answer
    x = 182.82

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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.