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Finding the Fourth Proportional to 208.83, 313.09 and 111.32

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Solution

The fourth proportional to 208.83, 313.09 and 111.32 is: 166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.83 : 313.09 = 111.32 : x
  2. Step 2: Convert to fraction form
    208.83/313.09 = 111.32/x
  3. Step 3: Cross multiply
    208.83x = 313.09 × 111.32
  4. Step 4: Simplify right side
    208.83x = 34,854.58
  5. Step 5: Solve for x
    x = 34,854.58/208.83
  6. Step 6: Final answer
    x = 166.91

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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.