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Finding the Fourth Proportional to 284.82, 393.15 and 197.75

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Solution

The fourth proportional to 284.82, 393.15 and 197.75 is: 272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.82 : 393.15 = 197.75 : x
  2. Step 2: Convert to fraction form
    284.82/393.15 = 197.75/x
  3. Step 3: Cross multiply
    284.82x = 393.15 × 197.75
  4. Step 4: Simplify right side
    284.82x = 77,743.45
  5. Step 5: Solve for x
    x = 77,743.45/284.82
  6. Step 6: Final answer
    x = 272.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.