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Finding the Fourth Proportional to 243.41, 365.99 and 211.55

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Solution

The fourth proportional to 243.41, 365.99 and 211.55 is: 318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.41 : 365.99 = 211.55 : x
  2. Step 2: Convert to fraction form
    243.41/365.99 = 211.55/x
  3. Step 3: Cross multiply
    243.41x = 365.99 × 211.55
  4. Step 4: Simplify right side
    243.41x = 77,422.30
  5. Step 5: Solve for x
    x = 77,422.30/243.41
  6. Step 6: Final answer
    x = 318.08

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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.