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Finding the Fourth Proportional to 243.10, 334.66 and 219.72

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Solution

The fourth proportional to 243.10, 334.66 and 219.72 is: 302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.10 : 334.66 = 219.72 : x
  2. Step 2: Convert to fraction form
    243.10/334.66 = 219.72/x
  3. Step 3: Cross multiply
    243.10x = 334.66 × 219.72
  4. Step 4: Simplify right side
    243.10x = 73,530.57
  5. Step 5: Solve for x
    x = 73,530.57/243.10
  6. Step 6: Final answer
    x = 302.47

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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.