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Finding the Fourth Proportional to 82.25, 123.38 and 21.39

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Solution

The fourth proportional to 82.25, 123.38 and 21.39 is: 32.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.25 : 123.38 = 21.39 : x
  2. Step 2: Convert to fraction form
    82.25/123.38 = 21.39/x
  3. Step 3: Cross multiply
    82.25x = 123.38 × 21.39
  4. Step 4: Simplify right side
    82.25x = 2,638.99
  5. Step 5: Solve for x
    x = 2,638.99/82.25
  6. Step 6: Final answer
    x = 32.09

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