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Finding the Fourth Proportional to 162.79, 244.26 and 81.61

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Solution

The fourth proportional to 162.79, 244.26 and 81.61 is: 122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.79 : 244.26 = 81.61 : x
  2. Step 2: Convert to fraction form
    162.79/244.26 = 81.61/x
  3. Step 3: Cross multiply
    162.79x = 244.26 × 81.61
  4. Step 4: Simplify right side
    162.79x = 19,934.06
  5. Step 5: Solve for x
    x = 19,934.06/162.79
  6. Step 6: Final answer
    x = 122.45

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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.