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Finding the Fourth Proportional to 161.59, 242.53 and 84.60

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Solution

The fourth proportional to 161.59, 242.53 and 84.60 is: 126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.59 : 242.53 = 84.60 : x
  2. Step 2: Convert to fraction form
    161.59/242.53 = 84.60/x
  3. Step 3: Cross multiply
    161.59x = 242.53 × 84.60
  4. Step 4: Simplify right side
    161.59x = 20,517.62
  5. Step 5: Solve for x
    x = 20,517.62/161.59
  6. Step 6: Final answer
    x = 126.98

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Why These Related Problems?

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