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Finding the Fourth Proportional to 209.21, 288.86 and 167.72

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Solution

The fourth proportional to 209.21, 288.86 and 167.72 is: 231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.21 : 288.86 = 167.72 : x
  2. Step 2: Convert to fraction form
    209.21/288.86 = 167.72/x
  3. Step 3: Cross multiply
    209.21x = 288.86 × 167.72
  4. Step 4: Simplify right side
    209.21x = 48,445.32
  5. Step 5: Solve for x
    x = 48,445.32/209.21
  6. Step 6: Final answer
    x = 231.57

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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.