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Finding the Fourth Proportional to 400.78, 553.26 and 253.54

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Solution

The fourth proportional to 400.78, 553.26 and 253.54 is: 350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.78 : 553.26 = 253.54 : x
  2. Step 2: Convert to fraction form
    400.78/553.26 = 253.54/x
  3. Step 3: Cross multiply
    400.78x = 553.26 × 253.54
  4. Step 4: Simplify right side
    400.78x = 140,273.54
  5. Step 5: Solve for x
    x = 140,273.54/400.78
  6. Step 6: Final answer
    x = 350.00

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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.