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Finding the Fourth Proportional to 353.26, 532.94 and 343.54

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Solution

The fourth proportional to 353.26, 532.94 and 343.54 is: 518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.26 : 532.94 = 343.54 : x
  2. Step 2: Convert to fraction form
    353.26/532.94 = 343.54/x
  3. Step 3: Cross multiply
    353.26x = 532.94 × 343.54
  4. Step 4: Simplify right side
    353.26x = 183,084.49
  5. Step 5: Solve for x
    x = 183,084.49/353.26
  6. Step 6: Final answer
    x = 518.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.