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Finding the Fourth Proportional to 402.26, 551.50 and 394.97

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Solution

The fourth proportional to 402.26, 551.50 and 394.97 is: 541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.26 : 551.50 = 394.97 : x
  2. Step 2: Convert to fraction form
    402.26/551.50 = 394.97/x
  3. Step 3: Cross multiply
    402.26x = 551.50 × 394.97
  4. Step 4: Simplify right side
    402.26x = 217,822.21
  5. Step 5: Solve for x
    x = 217,822.21/402.26
  6. Step 6: Final answer
    x = 541.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.