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Finding the Fourth Proportional to 221.13, 305.10 and 132.57

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Solution

The fourth proportional to 221.13, 305.10 and 132.57 is: 182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.13 : 305.10 = 132.57 : x
  2. Step 2: Convert to fraction form
    221.13/305.10 = 132.57/x
  3. Step 3: Cross multiply
    221.13x = 305.10 × 132.57
  4. Step 4: Simplify right side
    221.13x = 40,447.11
  5. Step 5: Solve for x
    x = 40,447.11/221.13
  6. Step 6: Final answer
    x = 182.91

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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.