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Finding the Fourth Proportional to 284.00, 425.83 and 185.25

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Solution

The fourth proportional to 284.00, 425.83 and 185.25 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.00 : 425.83 = 185.25 : x
  2. Step 2: Convert to fraction form
    284.00/425.83 = 185.25/x
  3. Step 3: Cross multiply
    284.00x = 425.83 × 185.25
  4. Step 4: Simplify right side
    284.00x = 78,883.07
  5. Step 5: Solve for x
    x = 78,883.07/284.00
  6. Step 6: Final answer
    x = 277.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.