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Finding the Fourth Proportional to 209.75, 289.46 and 117.75

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Solution

The fourth proportional to 209.75, 289.46 and 117.75 is: 162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 289.46 = 117.75 : x
  2. Step 2: Convert to fraction form
    209.75/289.46 = 117.75/x
  3. Step 3: Cross multiply
    209.75x = 289.46 × 117.75
  4. Step 4: Simplify right side
    209.75x = 34,083.92
  5. Step 5: Solve for x
    x = 34,083.92/209.75
  6. Step 6: Final answer
    x = 162.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.