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Finding the Fourth Proportional to 243.36, 364.80 and 206.88

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Solution

The fourth proportional to 243.36, 364.80 and 206.88 is: 310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.36 : 364.80 = 206.88 : x
  2. Step 2: Convert to fraction form
    243.36/364.80 = 206.88/x
  3. Step 3: Cross multiply
    243.36x = 364.80 × 206.88
  4. Step 4: Simplify right side
    243.36x = 75,469.82
  5. Step 5: Solve for x
    x = 75,469.82/243.36
  6. Step 6: Final answer
    x = 310.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.