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Finding the Fourth Proportional to 200.46, 274.75 and 194.29

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Solution

The fourth proportional to 200.46, 274.75 and 194.29 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 274.75 = 194.29 : x
  2. Step 2: Convert to fraction form
    200.46/274.75 = 194.29/x
  3. Step 3: Cross multiply
    200.46x = 274.75 × 194.29
  4. Step 4: Simplify right side
    200.46x = 53,381.18
  5. Step 5: Solve for x
    x = 53,381.18/200.46
  6. Step 6: Final answer
    x = 266.29

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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.