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Finding the Fourth Proportional to 243.86, 364.01 and 209.84

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Solution

The fourth proportional to 243.86, 364.01 and 209.84 is: 313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.86 : 364.01 = 209.84 : x
  2. Step 2: Convert to fraction form
    243.86/364.01 = 209.84/x
  3. Step 3: Cross multiply
    243.86x = 364.01 × 209.84
  4. Step 4: Simplify right side
    243.86x = 76,382.56
  5. Step 5: Solve for x
    x = 76,382.56/243.86
  6. Step 6: Final answer
    x = 313.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.