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Finding the Fourth Proportional to 399.82, 551.85 and 283.42

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Solution

The fourth proportional to 399.82, 551.85 and 283.42 is: 391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.82 : 551.85 = 283.42 : x
  2. Step 2: Convert to fraction form
    399.82/551.85 = 283.42/x
  3. Step 3: Cross multiply
    399.82x = 551.85 × 283.42
  4. Step 4: Simplify right side
    399.82x = 156,405.33
  5. Step 5: Solve for x
    x = 156,405.33/399.82
  6. Step 6: Final answer
    x = 391.19

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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.