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Finding the Fourth Proportional to 161.90, 243.10 and 136.42

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Solution

The fourth proportional to 161.90, 243.10 and 136.42 is: 204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.90 : 243.10 = 136.42 : x
  2. Step 2: Convert to fraction form
    161.90/243.10 = 136.42/x
  3. Step 3: Cross multiply
    161.90x = 243.10 × 136.42
  4. Step 4: Simplify right side
    161.90x = 33,163.26
  5. Step 5: Solve for x
    x = 33,163.26/161.90
  6. Step 6: Final answer
    x = 204.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.