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Finding the Fourth Proportional to 207.78, 311.85 and 183.75

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Solution

The fourth proportional to 207.78, 311.85 and 183.75 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.78 : 311.85 = 183.75 : x
  2. Step 2: Convert to fraction form
    207.78/311.85 = 183.75/x
  3. Step 3: Cross multiply
    207.78x = 311.85 × 183.75
  4. Step 4: Simplify right side
    207.78x = 57,302.44
  5. Step 5: Solve for x
    x = 57,302.44/207.78
  6. Step 6: Final answer
    x = 275.78

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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.