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Finding the Fourth Proportional to 209.70, 287.83 and 191.17

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Solution

The fourth proportional to 209.70, 287.83 and 191.17 is: 262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.70 : 287.83 = 191.17 : x
  2. Step 2: Convert to fraction form
    209.70/287.83 = 191.17/x
  3. Step 3: Cross multiply
    209.70x = 287.83 × 191.17
  4. Step 4: Simplify right side
    209.70x = 55,024.46
  5. Step 5: Solve for x
    x = 55,024.46/209.70
  6. Step 6: Final answer
    x = 262.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.