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Finding the Fourth Proportional to 167.09, 251.04 and 147.65

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Solution

The fourth proportional to 167.09, 251.04 and 147.65 is: 221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.09 : 251.04 = 147.65 : x
  2. Step 2: Convert to fraction form
    167.09/251.04 = 147.65/x
  3. Step 3: Cross multiply
    167.09x = 251.04 × 147.65
  4. Step 4: Simplify right side
    167.09x = 37,066.06
  5. Step 5: Solve for x
    x = 37,066.06/167.09
  6. Step 6: Final answer
    x = 221.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.