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Finding the Fourth Proportional to 161.39, 222.84 and 99.31

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Solution

The fourth proportional to 161.39, 222.84 and 99.31 is: 137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.39 : 222.84 = 99.31 : x
  2. Step 2: Convert to fraction form
    161.39/222.84 = 99.31/x
  3. Step 3: Cross multiply
    161.39x = 222.84 × 99.31
  4. Step 4: Simplify right side
    161.39x = 22,129.13
  5. Step 5: Solve for x
    x = 22,129.13/161.39
  6. Step 6: Final answer
    x = 137.12

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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.