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Finding the Fourth Proportional to 400.76, 553.06 and 245.48

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Solution

The fourth proportional to 400.76, 553.06 and 245.48 is: 338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.76 : 553.06 = 245.48 : x
  2. Step 2: Convert to fraction form
    400.76/553.06 = 245.48/x
  3. Step 3: Cross multiply
    400.76x = 553.06 × 245.48
  4. Step 4: Simplify right side
    400.76x = 135,765.17
  5. Step 5: Solve for x
    x = 135,765.17/400.76
  6. Step 6: Final answer
    x = 338.77

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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.