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Finding the Fourth Proportional to 215.23, 297.19 and 132.38

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Solution

The fourth proportional to 215.23, 297.19 and 132.38 is: 182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.23 : 297.19 = 132.38 : x
  2. Step 2: Convert to fraction form
    215.23/297.19 = 132.38/x
  3. Step 3: Cross multiply
    215.23x = 297.19 × 132.38
  4. Step 4: Simplify right side
    215.23x = 39,339.86
  5. Step 5: Solve for x
    x = 39,339.86/215.23
  6. Step 6: Final answer
    x = 182.78

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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.