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Finding the Fourth Proportional to 242.62, 362.18 and 226.62

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Solution

The fourth proportional to 242.62, 362.18 and 226.62 is: 338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.62 : 362.18 = 226.62 : x
  2. Step 2: Convert to fraction form
    242.62/362.18 = 226.62/x
  3. Step 3: Cross multiply
    242.62x = 362.18 × 226.62
  4. Step 4: Simplify right side
    242.62x = 82,077.80
  5. Step 5: Solve for x
    x = 82,077.80/242.62
  6. Step 6: Final answer
    x = 338.30

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