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Finding the Fourth Proportional to 209.09, 288.53 and 120.55

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Solution

The fourth proportional to 209.09, 288.53 and 120.55 is: 166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.09 : 288.53 = 120.55 : x
  2. Step 2: Convert to fraction form
    209.09/288.53 = 120.55/x
  3. Step 3: Cross multiply
    209.09x = 288.53 × 120.55
  4. Step 4: Simplify right side
    209.09x = 34,782.29
  5. Step 5: Solve for x
    x = 34,782.29/209.09
  6. Step 6: Final answer
    x = 166.35

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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.