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Finding the Fourth Proportional to 238.13, 355.26 and 230.43

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Solution

The fourth proportional to 238.13, 355.26 and 230.43 is: 343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.13 : 355.26 = 230.43 : x
  2. Step 2: Convert to fraction form
    238.13/355.26 = 230.43/x
  3. Step 3: Cross multiply
    238.13x = 355.26 × 230.43
  4. Step 4: Simplify right side
    238.13x = 81,862.56
  5. Step 5: Solve for x
    x = 81,862.56/238.13
  6. Step 6: Final answer
    x = 343.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.