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Finding the Fourth Proportional to 400.27, 552.41 and 242.94

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Solution

The fourth proportional to 400.27, 552.41 and 242.94 is: 335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.27 : 552.41 = 242.94 : x
  2. Step 2: Convert to fraction form
    400.27/552.41 = 242.94/x
  3. Step 3: Cross multiply
    400.27x = 552.41 × 242.94
  4. Step 4: Simplify right side
    400.27x = 134,201.13
  5. Step 5: Solve for x
    x = 134,201.13/400.27
  6. Step 6: Final answer
    x = 335.28

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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.