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Finding the Fourth Proportional to 208.49, 311.09 and 183.87

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Solution

The fourth proportional to 208.49, 311.09 and 183.87 is: 274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.49 : 311.09 = 183.87 : x
  2. Step 2: Convert to fraction form
    208.49/311.09 = 183.87/x
  3. Step 3: Cross multiply
    208.49x = 311.09 × 183.87
  4. Step 4: Simplify right side
    208.49x = 57,199.20
  5. Step 5: Solve for x
    x = 57,199.20/208.49
  6. Step 6: Final answer
    x = 274.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.