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Finding the Fourth Proportional to 238.41, 355.80 and 232.25

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Solution

The fourth proportional to 238.41, 355.80 and 232.25 is: 346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.41 : 355.80 = 232.25 : x
  2. Step 2: Convert to fraction form
    238.41/355.80 = 232.25/x
  3. Step 3: Cross multiply
    238.41x = 355.80 × 232.25
  4. Step 4: Simplify right side
    238.41x = 82,636.37
  5. Step 5: Solve for x
    x = 82,636.37/238.41
  6. Step 6: Final answer
    x = 346.62

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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.