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Finding the Fourth Proportional to 200.80, 274.61 and 195.40

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Solution

The fourth proportional to 200.80, 274.61 and 195.40 is: 267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.80 : 274.61 = 195.40 : x
  2. Step 2: Convert to fraction form
    200.80/274.61 = 195.40/x
  3. Step 3: Cross multiply
    200.80x = 274.61 × 195.40
  4. Step 4: Simplify right side
    200.80x = 53,658.79
  5. Step 5: Solve for x
    x = 53,658.79/200.80
  6. Step 6: Final answer
    x = 267.23

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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.