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Finding the Fourth Proportional to 200.53, 274.88 and 197.70

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Solution

The fourth proportional to 200.53, 274.88 and 197.70 is: 271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.53 : 274.88 = 197.70 : x
  2. Step 2: Convert to fraction form
    200.53/274.88 = 197.70/x
  3. Step 3: Cross multiply
    200.53x = 274.88 × 197.70
  4. Step 4: Simplify right side
    200.53x = 54,343.78
  5. Step 5: Solve for x
    x = 54,343.78/200.53
  6. Step 6: Final answer
    x = 271.00

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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.