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Finding the Fourth Proportional to 183.28, 275.10 and 137.74

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Solution

The fourth proportional to 183.28, 275.10 and 137.74 is: 206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.28 : 275.10 = 137.74 : x
  2. Step 2: Convert to fraction form
    183.28/275.10 = 137.74/x
  3. Step 3: Cross multiply
    183.28x = 275.10 × 137.74
  4. Step 4: Simplify right side
    183.28x = 37,892.27
  5. Step 5: Solve for x
    x = 37,892.27/183.28
  6. Step 6: Final answer
    x = 206.75

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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.