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Finding the Fourth Proportional to 402.13, 551.32 and 394.84

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Solution

The fourth proportional to 402.13, 551.32 and 394.84 is: 541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.13 : 551.32 = 394.84 : x
  2. Step 2: Convert to fraction form
    402.13/551.32 = 394.84/x
  3. Step 3: Cross multiply
    402.13x = 551.32 × 394.84
  4. Step 4: Simplify right side
    402.13x = 217,683.19
  5. Step 5: Solve for x
    x = 217,683.19/402.13
  6. Step 6: Final answer
    x = 541.33

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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.