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Finding the Fourth Proportional to 353.72, 532.82 and 326.99

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Solution

The fourth proportional to 353.72, 532.82 and 326.99 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.72 : 532.82 = 326.99 : x
  2. Step 2: Convert to fraction form
    353.72/532.82 = 326.99/x
  3. Step 3: Cross multiply
    353.72x = 532.82 × 326.99
  4. Step 4: Simplify right side
    353.72x = 174,226.81
  5. Step 5: Solve for x
    x = 174,226.81/353.72
  6. Step 6: Final answer
    x = 492.56

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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.