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Finding the Fourth Proportional to 161.68, 222.78 and 109.84

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Solution

The fourth proportional to 161.68, 222.78 and 109.84 is: 151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.68 : 222.78 = 109.84 : x
  2. Step 2: Convert to fraction form
    161.68/222.78 = 109.84/x
  3. Step 3: Cross multiply
    161.68x = 222.78 × 109.84
  4. Step 4: Simplify right side
    161.68x = 24,470.16
  5. Step 5: Solve for x
    x = 24,470.16/161.68
  6. Step 6: Final answer
    x = 151.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.