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Finding the Fourth Proportional to 284.46, 393.28 and 197.78

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Solution

The fourth proportional to 284.46, 393.28 and 197.78 is: 273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.46 : 393.28 = 197.78 : x
  2. Step 2: Convert to fraction form
    284.46/393.28 = 197.78/x
  3. Step 3: Cross multiply
    284.46x = 393.28 × 197.78
  4. Step 4: Simplify right side
    284.46x = 77,782.92
  5. Step 5: Solve for x
    x = 77,782.92/284.46
  6. Step 6: Final answer
    x = 273.44

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