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Finding the Fourth Proportional to 209.24, 288.29 and 140.12

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Solution

The fourth proportional to 209.24, 288.29 and 140.12 is: 193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.24 : 288.29 = 140.12 : x
  2. Step 2: Convert to fraction form
    209.24/288.29 = 140.12/x
  3. Step 3: Cross multiply
    209.24x = 288.29 × 140.12
  4. Step 4: Simplify right side
    209.24x = 40,395.19
  5. Step 5: Solve for x
    x = 40,395.19/209.24
  6. Step 6: Final answer
    x = 193.06

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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.