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Finding the Fourth Proportional to 400.89, 552.96 and 245.64

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Solution

The fourth proportional to 400.89, 552.96 and 245.64 is: 338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.89 : 552.96 = 245.64 : x
  2. Step 2: Convert to fraction form
    400.89/552.96 = 245.64/x
  3. Step 3: Cross multiply
    400.89x = 552.96 × 245.64
  4. Step 4: Simplify right side
    400.89x = 135,829.09
  5. Step 5: Solve for x
    x = 135,829.09/400.89
  6. Step 6: Final answer
    x = 338.82

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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.