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Finding the Fourth Proportional to 200.03, 274.73 and 194.58

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Solution

The fourth proportional to 200.03, 274.73 and 194.58 is: 267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.03 : 274.73 = 194.58 : x
  2. Step 2: Convert to fraction form
    200.03/274.73 = 194.58/x
  3. Step 3: Cross multiply
    200.03x = 274.73 × 194.58
  4. Step 4: Simplify right side
    200.03x = 53,455.99
  5. Step 5: Solve for x
    x = 53,455.99/200.03
  6. Step 6: Final answer
    x = 267.25

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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.