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Finding the Fourth Proportional to 243.60, 336.12 and 138.72

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Solution

The fourth proportional to 243.60, 336.12 and 138.72 is: 191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.60 : 336.12 = 138.72 : x
  2. Step 2: Convert to fraction form
    243.60/336.12 = 138.72/x
  3. Step 3: Cross multiply
    243.60x = 336.12 × 138.72
  4. Step 4: Simplify right side
    243.60x = 46,626.57
  5. Step 5: Solve for x
    x = 46,626.57/243.60
  6. Step 6: Final answer
    x = 191.41

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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.