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Finding the Fourth Proportional to 394.34, 588.38 and 353.30

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Solution

The fourth proportional to 394.34, 588.38 and 353.30 is: 527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.34 : 588.38 = 353.30 : x
  2. Step 2: Convert to fraction form
    394.34/588.38 = 353.30/x
  3. Step 3: Cross multiply
    394.34x = 588.38 × 353.30
  4. Step 4: Simplify right side
    394.34x = 207,869.95
  5. Step 5: Solve for x
    x = 207,869.95/394.34
  6. Step 6: Final answer
    x = 527.14

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Why These Related Problems?

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