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Finding the Fourth Proportional to 400.05, 551.80 and 252.56

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Solution

The fourth proportional to 400.05, 551.80 and 252.56 is: 348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.05 : 551.80 = 252.56 : x
  2. Step 2: Convert to fraction form
    400.05/551.80 = 252.56/x
  3. Step 3: Cross multiply
    400.05x = 551.80 × 252.56
  4. Step 4: Simplify right side
    400.05x = 139,362.61
  5. Step 5: Solve for x
    x = 139,362.61/400.05
  6. Step 6: Final answer
    x = 348.36

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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.