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Finding the Fourth Proportional to 200.24, 298.92 and 191.37

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Solution

The fourth proportional to 200.24, 298.92 and 191.37 is: 285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 298.92 = 191.37 : x
  2. Step 2: Convert to fraction form
    200.24/298.92 = 191.37/x
  3. Step 3: Cross multiply
    200.24x = 298.92 × 191.37
  4. Step 4: Simplify right side
    200.24x = 57,203.36
  5. Step 5: Solve for x
    x = 57,203.36/200.24
  6. Step 6: Final answer
    x = 285.68

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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.