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Finding the Fourth Proportional to 243.81, 334.66 and 215.56

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Solution

The fourth proportional to 243.81, 334.66 and 215.56 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.81 : 334.66 = 215.56 : x
  2. Step 2: Convert to fraction form
    243.81/334.66 = 215.56/x
  3. Step 3: Cross multiply
    243.81x = 334.66 × 215.56
  4. Step 4: Simplify right side
    243.81x = 72,137.64
  5. Step 5: Solve for x
    x = 72,137.64/243.81
  6. Step 6: Final answer
    x = 295.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.