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Finding the Fourth Proportional to 238.40, 357.81 and 135.89

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Solution

The fourth proportional to 238.40, 357.81 and 135.89 is: 203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.40 : 357.81 = 135.89 : x
  2. Step 2: Convert to fraction form
    238.40/357.81 = 135.89/x
  3. Step 3: Cross multiply
    238.40x = 357.81 × 135.89
  4. Step 4: Simplify right side
    238.40x = 48,622.12
  5. Step 5: Solve for x
    x = 48,622.12/238.40
  6. Step 6: Final answer
    x = 203.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.