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Finding the Fourth Proportional to 161.42, 243.08 and 116.09

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Solution

The fourth proportional to 161.42, 243.08 and 116.09 is: 174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.42 : 243.08 = 116.09 : x
  2. Step 2: Convert to fraction form
    161.42/243.08 = 116.09/x
  3. Step 3: Cross multiply
    161.42x = 243.08 × 116.09
  4. Step 4: Simplify right side
    161.42x = 28,217.65
  5. Step 5: Solve for x
    x = 28,217.65/161.42
  6. Step 6: Final answer
    x = 174.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.