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Finding the Fourth Proportional to 132.46, 182.72 and 83.30

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Solution

The fourth proportional to 132.46, 182.72 and 83.30 is: 114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.46 : 182.72 = 83.30 : x
  2. Step 2: Convert to fraction form
    132.46/182.72 = 83.30/x
  3. Step 3: Cross multiply
    132.46x = 182.72 × 83.30
  4. Step 4: Simplify right side
    132.46x = 15,219.93
  5. Step 5: Solve for x
    x = 15,219.93/132.46
  6. Step 6: Final answer
    x = 114.90

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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.