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Finding the Fourth Proportional to 208.68, 311.36 and 177.90

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Solution

The fourth proportional to 208.68, 311.36 and 177.90 is: 265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.68 : 311.36 = 177.90 : x
  2. Step 2: Convert to fraction form
    208.68/311.36 = 177.90/x
  3. Step 3: Cross multiply
    208.68x = 311.36 × 177.90
  4. Step 4: Simplify right side
    208.68x = 55,390.94
  5. Step 5: Solve for x
    x = 55,390.94/208.68
  6. Step 6: Final answer
    x = 265.43

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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.