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Finding the Fourth Proportional to 162.93, 244.49 and 81.84

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Solution

The fourth proportional to 162.93, 244.49 and 81.84 is: 122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.93 : 244.49 = 81.84 : x
  2. Step 2: Convert to fraction form
    162.93/244.49 = 81.84/x
  3. Step 3: Cross multiply
    162.93x = 244.49 × 81.84
  4. Step 4: Simplify right side
    162.93x = 20,008.65
  5. Step 5: Solve for x
    x = 20,008.65/162.93
  6. Step 6: Final answer
    x = 122.81

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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.