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Finding the Fourth Proportional to 243.22, 334.39 and 216.74

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Solution

The fourth proportional to 243.22, 334.39 and 216.74 is: 297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.22 : 334.39 = 216.74 : x
  2. Step 2: Convert to fraction form
    243.22/334.39 = 216.74/x
  3. Step 3: Cross multiply
    243.22x = 334.39 × 216.74
  4. Step 4: Simplify right side
    243.22x = 72,475.69
  5. Step 5: Solve for x
    x = 72,475.69/243.22
  6. Step 6: Final answer
    x = 297.98

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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.