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Finding the Fourth Proportional to 284, 391.91 and 159.65

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Solution

The fourth proportional to 284, 391.91 and 159.65 is: 220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 391.91 = 159.65 : x
  2. Step 2: Convert to fraction form
    284/391.91 = 159.65/x
  3. Step 3: Cross multiply
    284x = 391.91 × 159.65
  4. Step 4: Simplify right side
    284x = 62,568.43
  5. Step 5: Solve for x
    x = 62,568.43/284
  6. Step 6: Final answer
    x = 220.31

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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.