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Finding the Fourth Proportional to 242.60, 363.98 and 161.60

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Solution

The fourth proportional to 242.60, 363.98 and 161.60 is: 242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.60 : 363.98 = 161.60 : x
  2. Step 2: Convert to fraction form
    242.60/363.98 = 161.60/x
  3. Step 3: Cross multiply
    242.60x = 363.98 × 161.60
  4. Step 4: Simplify right side
    242.60x = 58,819.17
  5. Step 5: Solve for x
    x = 58,819.17/242.60
  6. Step 6: Final answer
    x = 242.45

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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.