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Finding the Fourth Proportional to 284.80, 393.60 and 197.76

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Solution

The fourth proportional to 284.80, 393.60 and 197.76 is: 273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.80 : 393.60 = 197.76 : x
  2. Step 2: Convert to fraction form
    284.80/393.60 = 197.76/x
  3. Step 3: Cross multiply
    284.80x = 393.60 × 197.76
  4. Step 4: Simplify right side
    284.80x = 77,838.34
  5. Step 5: Solve for x
    x = 77,838.34/284.80
  6. Step 6: Final answer
    x = 273.31

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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.