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Finding the Fourth Proportional to 161.12, 240.32 and 136.80

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Solution

The fourth proportional to 161.12, 240.32 and 136.80 is: 204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.12 : 240.32 = 136.80 : x
  2. Step 2: Convert to fraction form
    161.12/240.32 = 136.80/x
  3. Step 3: Cross multiply
    161.12x = 240.32 × 136.80
  4. Step 4: Simplify right side
    161.12x = 32,875.78
  5. Step 5: Solve for x
    x = 32,875.78/161.12
  6. Step 6: Final answer
    x = 204.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.