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Finding the Fourth Proportional to 284.65, 392.46 and 195.97

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Solution

The fourth proportional to 284.65, 392.46 and 195.97 is: 270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.65 : 392.46 = 195.97 : x
  2. Step 2: Convert to fraction form
    284.65/392.46 = 195.97/x
  3. Step 3: Cross multiply
    284.65x = 392.46 × 195.97
  4. Step 4: Simplify right side
    284.65x = 76,910.39
  5. Step 5: Solve for x
    x = 76,910.39/284.65
  6. Step 6: Final answer
    x = 270.19

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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.