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Finding the Fourth Proportional to 238.41, 328.90 and 138.81

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Solution

The fourth proportional to 238.41, 328.90 and 138.81 is: 191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.41 : 328.90 = 138.81 : x
  2. Step 2: Convert to fraction form
    238.41/328.90 = 138.81/x
  3. Step 3: Cross multiply
    238.41x = 328.90 × 138.81
  4. Step 4: Simplify right side
    238.41x = 45,654.61
  5. Step 5: Solve for x
    x = 45,654.61/238.41
  6. Step 6: Final answer
    x = 191.50

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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.