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Finding the Fourth Proportional to 200.32, 277.60 and 193.92

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Solution

The fourth proportional to 200.32, 277.60 and 193.92 is: 268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.32 : 277.60 = 193.92 : x
  2. Step 2: Convert to fraction form
    200.32/277.60 = 193.92/x
  3. Step 3: Cross multiply
    200.32x = 277.60 × 193.92
  4. Step 4: Simplify right side
    200.32x = 53,832.19
  5. Step 5: Solve for x
    x = 53,832.19/200.32
  6. Step 6: Final answer
    x = 268.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.