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Finding the Fourth Proportional to 243.64, 334.33 and 221.64

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Solution

The fourth proportional to 243.64, 334.33 and 221.64 is: 304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.64 : 334.33 = 221.64 : x
  2. Step 2: Convert to fraction form
    243.64/334.33 = 221.64/x
  3. Step 3: Cross multiply
    243.64x = 334.33 × 221.64
  4. Step 4: Simplify right side
    243.64x = 74,100.90
  5. Step 5: Solve for x
    x = 74,100.90/243.64
  6. Step 6: Final answer
    x = 304.14

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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.