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Finding the Fourth Proportional to 215.13, 296.96 and 132.28

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Solution

The fourth proportional to 215.13, 296.96 and 132.28 is: 182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.13 : 296.96 = 132.28 : x
  2. Step 2: Convert to fraction form
    215.13/296.96 = 132.28/x
  3. Step 3: Cross multiply
    215.13x = 296.96 × 132.28
  4. Step 4: Simplify right side
    215.13x = 39,280.47
  5. Step 5: Solve for x
    x = 39,280.47/215.13
  6. Step 6: Final answer
    x = 182.59

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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.