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Finding the Fourth Proportional to 209.17, 288.55 and 194.33

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Solution

The fourth proportional to 209.17, 288.55 and 194.33 is: 268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.17 : 288.55 = 194.33 : x
  2. Step 2: Convert to fraction form
    209.17/288.55 = 194.33/x
  3. Step 3: Cross multiply
    209.17x = 288.55 × 194.33
  4. Step 4: Simplify right side
    209.17x = 56,071.99
  5. Step 5: Solve for x
    x = 56,071.99/209.17
  6. Step 6: Final answer
    x = 268.07

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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.