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Finding the Fourth Proportional to 208.48, 312.78 and 110.92

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Solution

The fourth proportional to 208.48, 312.78 and 110.92 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.48 : 312.78 = 110.92 : x
  2. Step 2: Convert to fraction form
    208.48/312.78 = 110.92/x
  3. Step 3: Cross multiply
    208.48x = 312.78 × 110.92
  4. Step 4: Simplify right side
    208.48x = 34,693.56
  5. Step 5: Solve for x
    x = 34,693.56/208.48
  6. Step 6: Final answer
    x = 166.41

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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.