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Finding the Fourth Proportional to 182.12, 273.18 and 53.88

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Solution

The fourth proportional to 182.12, 273.18 and 53.88 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.12 : 273.18 = 53.88 : x
  2. Step 2: Convert to fraction form
    182.12/273.18 = 53.88/x
  3. Step 3: Cross multiply
    182.12x = 273.18 × 53.88
  4. Step 4: Simplify right side
    182.12x = 14,718.94
  5. Step 5: Solve for x
    x = 14,718.94/182.12
  6. Step 6: Final answer
    x = 80.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.