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Finding the Fourth Proportional to 243.77, 336.75 and 194.59

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Solution

The fourth proportional to 243.77, 336.75 and 194.59 is: 268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.77 : 336.75 = 194.59 : x
  2. Step 2: Convert to fraction form
    243.77/336.75 = 194.59/x
  3. Step 3: Cross multiply
    243.77x = 336.75 × 194.59
  4. Step 4: Simplify right side
    243.77x = 65,527.34
  5. Step 5: Solve for x
    x = 65,527.34/243.77
  6. Step 6: Final answer
    x = 268.81

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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.