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Finding the Fourth Proportional to 82.21, 122.96 and 55.18

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Solution

The fourth proportional to 82.21, 122.96 and 55.18 is: 82.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.21 : 122.96 = 55.18 : x
  2. Step 2: Convert to fraction form
    82.21/122.96 = 55.18/x
  3. Step 3: Cross multiply
    82.21x = 122.96 × 55.18
  4. Step 4: Simplify right side
    82.21x = 6,784.04
  5. Step 5: Solve for x
    x = 6,784.04/82.21
  6. Step 6: Final answer
    x = 82.52

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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.