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Finding the Fourth Proportional to 200.28, 277.80 and 192.99

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Solution

The fourth proportional to 200.28, 277.80 and 192.99 is: 267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.28 : 277.80 = 192.99 : x
  2. Step 2: Convert to fraction form
    200.28/277.80 = 192.99/x
  3. Step 3: Cross multiply
    200.28x = 277.80 × 192.99
  4. Step 4: Simplify right side
    200.28x = 53,612.62
  5. Step 5: Solve for x
    x = 53,612.62/200.28
  6. Step 6: Final answer
    x = 267.69

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