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Finding the Fourth Proportional to 309.24, 426.33 and 238.43

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Solution

The fourth proportional to 309.24, 426.33 and 238.43 is: 328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.24 : 426.33 = 238.43 : x
  2. Step 2: Convert to fraction form
    309.24/426.33 = 238.43/x
  3. Step 3: Cross multiply
    309.24x = 426.33 × 238.43
  4. Step 4: Simplify right side
    309.24x = 101,647.73
  5. Step 5: Solve for x
    x = 101,647.73/309.24
  6. Step 6: Final answer
    x = 328.70

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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.