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Finding the Fourth Proportional to 200.72, 275.83 and 191.68

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Solution

The fourth proportional to 200.72, 275.83 and 191.68 is: 263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.72 : 275.83 = 191.68 : x
  2. Step 2: Convert to fraction form
    200.72/275.83 = 191.68/x
  3. Step 3: Cross multiply
    200.72x = 275.83 × 191.68
  4. Step 4: Simplify right side
    200.72x = 52,871.09
  5. Step 5: Solve for x
    x = 52,871.09/200.72
  6. Step 6: Final answer
    x = 263.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.