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Finding the Fourth Proportional to 402.01, 551.14 and 394.72

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Solution

The fourth proportional to 402.01, 551.14 and 394.72 is: 541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.01 : 551.14 = 394.72 : x
  2. Step 2: Convert to fraction form
    402.01/551.14 = 394.72/x
  3. Step 3: Cross multiply
    402.01x = 551.14 × 394.72
  4. Step 4: Simplify right side
    402.01x = 217,543.23
  5. Step 5: Solve for x
    x = 217,543.23/402.01
  6. Step 6: Final answer
    x = 541.15

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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.