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Finding the Fourth Proportional to 208.86, 311.85 and 178.41

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Solution

The fourth proportional to 208.86, 311.85 and 178.41 is: 266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.86 : 311.85 = 178.41 : x
  2. Step 2: Convert to fraction form
    208.86/311.85 = 178.41/x
  3. Step 3: Cross multiply
    208.86x = 311.85 × 178.41
  4. Step 4: Simplify right side
    208.86x = 55,637.16
  5. Step 5: Solve for x
    x = 55,637.16/208.86
  6. Step 6: Final answer
    x = 266.38

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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.