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Finding the Fourth Proportional to 353.22, 532.06 and 326.49

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Solution

The fourth proportional to 353.22, 532.06 and 326.49 is: 491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.22 : 532.06 = 326.49 : x
  2. Step 2: Convert to fraction form
    353.22/532.06 = 326.49/x
  3. Step 3: Cross multiply
    353.22x = 532.06 × 326.49
  4. Step 4: Simplify right side
    353.22x = 173,712.27
  5. Step 5: Solve for x
    x = 173,712.27/353.22
  6. Step 6: Final answer
    x = 491.80

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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.