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Finding the Fourth Proportional to 200.55, 277.13 and 193.71

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Solution

The fourth proportional to 200.55, 277.13 and 193.71 is: 267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.55 : 277.13 = 193.71 : x
  2. Step 2: Convert to fraction form
    200.55/277.13 = 193.71/x
  3. Step 3: Cross multiply
    200.55x = 277.13 × 193.71
  4. Step 4: Simplify right side
    200.55x = 53,682.85
  5. Step 5: Solve for x
    x = 53,682.85/200.55
  6. Step 6: Final answer
    x = 267.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.