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Finding the Fourth Proportional to 243.21, 335.36 and 199.47

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Solution

The fourth proportional to 243.21, 335.36 and 199.47 is: 275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.21 : 335.36 = 199.47 : x
  2. Step 2: Convert to fraction form
    243.21/335.36 = 199.47/x
  3. Step 3: Cross multiply
    243.21x = 335.36 × 199.47
  4. Step 4: Simplify right side
    243.21x = 66,894.76
  5. Step 5: Solve for x
    x = 66,894.76/243.21
  6. Step 6: Final answer
    x = 275.05

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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.