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Finding the Fourth Proportional to 251.80, 364.75 and 251.80

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Solution

The fourth proportional to 251.80, 364.75 and 251.80 is: 364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.80 : 364.75 = 251.80 : x
  2. Step 2: Convert to fraction form
    251.80/364.75 = 251.80/x
  3. Step 3: Cross multiply
    251.80x = 364.75 × 251.80
  4. Step 4: Simplify right side
    251.80x = 91,844.05
  5. Step 5: Solve for x
    x = 91,844.05/251.80
  6. Step 6: Final answer
    x = 364.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.