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Finding the Fourth Proportional to 297.91, 411.57 and 238.22

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Solution

The fourth proportional to 297.91, 411.57 and 238.22 is: 329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.91 : 411.57 = 238.22 : x
  2. Step 2: Convert to fraction form
    297.91/411.57 = 238.22/x
  3. Step 3: Cross multiply
    297.91x = 411.57 × 238.22
  4. Step 4: Simplify right side
    297.91x = 98,044.21
  5. Step 5: Solve for x
    x = 98,044.21/297.91
  6. Step 6: Final answer
    x = 329.11

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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.