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Finding the Fourth Proportional to 284.13, 391.77 and 201.26

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Solution

The fourth proportional to 284.13, 391.77 and 201.26 is: 277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.13 : 391.77 = 201.26 : x
  2. Step 2: Convert to fraction form
    284.13/391.77 = 201.26/x
  3. Step 3: Cross multiply
    284.13x = 391.77 × 201.26
  4. Step 4: Simplify right side
    284.13x = 78,845.67
  5. Step 5: Solve for x
    x = 78,845.67/284.13
  6. Step 6: Final answer
    x = 277.50

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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.