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Finding the Fourth Proportional to 161.60, 242.40 and 80.52

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Solution

The fourth proportional to 161.60, 242.40 and 80.52 is: 120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.60 : 242.40 = 80.52 : x
  2. Step 2: Convert to fraction form
    161.60/242.40 = 80.52/x
  3. Step 3: Cross multiply
    161.60x = 242.40 × 80.52
  4. Step 4: Simplify right side
    161.60x = 19,518.05
  5. Step 5: Solve for x
    x = 19,518.05/161.60
  6. Step 6: Final answer
    x = 120.78

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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.