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Finding the Fourth Proportional to 400.21, 552.27 and 242.97

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Solution

The fourth proportional to 400.21, 552.27 and 242.97 is: 335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.21 : 552.27 = 242.97 : x
  2. Step 2: Convert to fraction form
    400.21/552.27 = 242.97/x
  3. Step 3: Cross multiply
    400.21x = 552.27 × 242.97
  4. Step 4: Simplify right side
    400.21x = 134,185.04
  5. Step 5: Solve for x
    x = 134,185.04/400.21
  6. Step 6: Final answer
    x = 335.29

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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.