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Finding the Fourth Proportional to 348.29, 521.52 and 226.18

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Solution

The fourth proportional to 348.29, 521.52 and 226.18 is: 338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.29 : 521.52 = 226.18 : x
  2. Step 2: Convert to fraction form
    348.29/521.52 = 226.18/x
  3. Step 3: Cross multiply
    348.29x = 521.52 × 226.18
  4. Step 4: Simplify right side
    348.29x = 117,957.39
  5. Step 5: Solve for x
    x = 117,957.39/348.29
  6. Step 6: Final answer
    x = 338.68

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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.