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Finding the Fourth Proportional to 204.82, 284.15 and 197.53

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Solution

The fourth proportional to 204.82, 284.15 and 197.53 is: 274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.82 : 284.15 = 197.53 : x
  2. Step 2: Convert to fraction form
    204.82/284.15 = 197.53/x
  3. Step 3: Cross multiply
    204.82x = 284.15 × 197.53
  4. Step 4: Simplify right side
    204.82x = 56,127.93
  5. Step 5: Solve for x
    x = 56,127.93/204.82
  6. Step 6: Final answer
    x = 274.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.