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Finding the Fourth Proportional to 399.70, 551.26 and 353.12

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Solution

The fourth proportional to 399.70, 551.26 and 353.12 is: 487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.70 : 551.26 = 353.12 : x
  2. Step 2: Convert to fraction form
    399.70/551.26 = 353.12/x
  3. Step 3: Cross multiply
    399.70x = 551.26 × 353.12
  4. Step 4: Simplify right side
    399.70x = 194,660.93
  5. Step 5: Solve for x
    x = 194,660.93/399.70
  6. Step 6: Final answer
    x = 487.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.