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Finding the Fourth Proportional to 200.48, 274.87 and 195.08

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Solution

The fourth proportional to 200.48, 274.87 and 195.08 is: 267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.48 : 274.87 = 195.08 : x
  2. Step 2: Convert to fraction form
    200.48/274.87 = 195.08/x
  3. Step 3: Cross multiply
    200.48x = 274.87 × 195.08
  4. Step 4: Simplify right side
    200.48x = 53,621.64
  5. Step 5: Solve for x
    x = 53,621.64/200.48
  6. Step 6: Final answer
    x = 267.47

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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.