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Finding the Fourth Proportional to 92.40, 138 and 82.08

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Solution

The fourth proportional to 92.40, 138 and 82.08 is: 122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.40 : 138 = 82.08 : x
  2. Step 2: Convert to fraction form
    92.40/138 = 82.08/x
  3. Step 3: Cross multiply
    92.40x = 138 × 82.08
  4. Step 4: Simplify right side
    92.40x = 11,327.04
  5. Step 5: Solve for x
    x = 11,327.04/92.40
  6. Step 6: Final answer
    x = 122.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.