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Finding the Fourth Proportional to 209.25, 287.96 and 167.67

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Solution

The fourth proportional to 209.25, 287.96 and 167.67 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 287.96 = 167.67 : x
  2. Step 2: Convert to fraction form
    209.25/287.96 = 167.67/x
  3. Step 3: Cross multiply
    209.25x = 287.96 × 167.67
  4. Step 4: Simplify right side
    209.25x = 48,281.41
  5. Step 5: Solve for x
    x = 48,281.41/209.25
  6. Step 6: Final answer
    x = 230.74

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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.