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Finding the Fourth Proportional to 243.75, 336.35 and 138.83

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Solution

The fourth proportional to 243.75, 336.35 and 138.83 is: 191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.75 : 336.35 = 138.83 : x
  2. Step 2: Convert to fraction form
    243.75/336.35 = 138.83/x
  3. Step 3: Cross multiply
    243.75x = 336.35 × 138.83
  4. Step 4: Simplify right side
    243.75x = 46,696.03
  5. Step 5: Solve for x
    x = 46,696.03/243.75
  6. Step 6: Final answer
    x = 191.57

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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.