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Finding the Fourth Proportional to 132.20, 182.49 and 90.80

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Solution

The fourth proportional to 132.20, 182.49 and 90.80 is: 125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.20 : 182.49 = 90.80 : x
  2. Step 2: Convert to fraction form
    132.20/182.49 = 90.80/x
  3. Step 3: Cross multiply
    132.20x = 182.49 × 90.80
  4. Step 4: Simplify right side
    132.20x = 16,569.18
  5. Step 5: Solve for x
    x = 16,569.18/132.20
  6. Step 6: Final answer
    x = 125.34

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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.