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Finding the Fourth Proportional to 397.71, 548.36 and 242.43

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Solution

The fourth proportional to 397.71, 548.36 and 242.43 is: 334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.71 : 548.36 = 242.43 : x
  2. Step 2: Convert to fraction form
    397.71/548.36 = 242.43/x
  3. Step 3: Cross multiply
    397.71x = 548.36 × 242.43
  4. Step 4: Simplify right side
    397.71x = 132,937.70
  5. Step 5: Solve for x
    x = 132,937.70/397.71
  6. Step 6: Final answer
    x = 334.26

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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.