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Finding the Fourth Proportional to 400.78, 553.14 and 253.48

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Solution

The fourth proportional to 400.78, 553.14 and 253.48 is: 349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.78 : 553.14 = 253.48 : x
  2. Step 2: Convert to fraction form
    400.78/553.14 = 253.48/x
  3. Step 3: Cross multiply
    400.78x = 553.14 × 253.48
  4. Step 4: Simplify right side
    400.78x = 140,209.93
  5. Step 5: Solve for x
    x = 140,209.93/400.78
  6. Step 6: Final answer
    x = 349.84

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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.