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Finding the Fourth Proportional to 209.01, 288.18 and 168.03

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Solution

The fourth proportional to 209.01, 288.18 and 168.03 is: 231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.01 : 288.18 = 168.03 : x
  2. Step 2: Convert to fraction form
    209.01/288.18 = 168.03/x
  3. Step 3: Cross multiply
    209.01x = 288.18 × 168.03
  4. Step 4: Simplify right side
    209.01x = 48,422.89
  5. Step 5: Solve for x
    x = 48,422.89/209.01
  6. Step 6: Final answer
    x = 231.68

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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.