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Finding the Fourth Proportional to 284, 391.78 and 185.80

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Solution

The fourth proportional to 284, 391.78 and 185.80 is: 256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 391.78 = 185.80 : x
  2. Step 2: Convert to fraction form
    284/391.78 = 185.80/x
  3. Step 3: Cross multiply
    284x = 391.78 × 185.80
  4. Step 4: Simplify right side
    284x = 72,792.72
  5. Step 5: Solve for x
    x = 72,792.72/284
  6. Step 6: Final answer
    x = 256.31

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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.