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Finding the Fourth Proportional to 200.59, 274.25 and 193.03

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Solution

The fourth proportional to 200.59, 274.25 and 193.03 is: 263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.59 : 274.25 = 193.03 : x
  2. Step 2: Convert to fraction form
    200.59/274.25 = 193.03/x
  3. Step 3: Cross multiply
    200.59x = 274.25 × 193.03
  4. Step 4: Simplify right side
    200.59x = 52,938.48
  5. Step 5: Solve for x
    x = 52,938.48/200.59
  6. Step 6: Final answer
    x = 263.91

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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.