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Finding the Fourth Proportional to 243.45, 335.87 and 138.52

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Solution

The fourth proportional to 243.45, 335.87 and 138.52 is: 191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.45 : 335.87 = 138.52 : x
  2. Step 2: Convert to fraction form
    243.45/335.87 = 138.52/x
  3. Step 3: Cross multiply
    243.45x = 335.87 × 138.52
  4. Step 4: Simplify right side
    243.45x = 46,524.71
  5. Step 5: Solve for x
    x = 46,524.71/243.45
  6. Step 6: Final answer
    x = 191.11

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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.