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Finding the Fourth Proportional to 400.18, 552.42 and 301.96

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Solution

The fourth proportional to 400.18, 552.42 and 301.96 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.18 : 552.42 = 301.96 : x
  2. Step 2: Convert to fraction form
    400.18/552.42 = 301.96/x
  3. Step 3: Cross multiply
    400.18x = 552.42 × 301.96
  4. Step 4: Simplify right side
    400.18x = 166,808.74
  5. Step 5: Solve for x
    x = 166,808.74/400.18
  6. Step 6: Final answer
    x = 416.83

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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.