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Finding the Fourth Proportional to 243.78, 364.01 and 191.83

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Solution

The fourth proportional to 243.78, 364.01 and 191.83 is: 286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.78 : 364.01 = 191.83 : x
  2. Step 2: Convert to fraction form
    243.78/364.01 = 191.83/x
  3. Step 3: Cross multiply
    243.78x = 364.01 × 191.83
  4. Step 4: Simplify right side
    243.78x = 69,828.04
  5. Step 5: Solve for x
    x = 69,828.04/243.78
  6. Step 6: Final answer
    x = 286.44

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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.