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Finding the Fourth Proportional to 400.86, 551.45 and 327.02

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Solution

The fourth proportional to 400.86, 551.45 and 327.02 is: 449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.86 : 551.45 = 327.02 : x
  2. Step 2: Convert to fraction form
    400.86/551.45 = 327.02/x
  3. Step 3: Cross multiply
    400.86x = 551.45 × 327.02
  4. Step 4: Simplify right side
    400.86x = 180,333.24
  5. Step 5: Solve for x
    x = 180,333.24/400.86
  6. Step 6: Final answer
    x = 449.87

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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.