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Finding the Fourth Proportional to 162.92, 244.28 and 81.82

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Solution

The fourth proportional to 162.92, 244.28 and 81.82 is: 122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.92 : 244.28 = 81.82 : x
  2. Step 2: Convert to fraction form
    162.92/244.28 = 81.82/x
  3. Step 3: Cross multiply
    162.92x = 244.28 × 81.82
  4. Step 4: Simplify right side
    162.92x = 19,986.99
  5. Step 5: Solve for x
    x = 19,986.99/162.92
  6. Step 6: Final answer
    x = 122.68

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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.