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Finding the Fourth Proportional to 243.47, 335.81 and 194.46

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Solution

The fourth proportional to 243.47, 335.81 and 194.46 is: 268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.47 : 335.81 = 194.46 : x
  2. Step 2: Convert to fraction form
    243.47/335.81 = 194.46/x
  3. Step 3: Cross multiply
    243.47x = 335.81 × 194.46
  4. Step 4: Simplify right side
    243.47x = 65,300.64
  5. Step 5: Solve for x
    x = 65,300.64/243.47
  6. Step 6: Final answer
    x = 268.21

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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.