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Finding the Fourth Proportional to 169.72, 235.22 and 167.16

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Solution

The fourth proportional to 169.72, 235.22 and 167.16 is: 231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.72 : 235.22 = 167.16 : x
  2. Step 2: Convert to fraction form
    169.72/235.22 = 167.16/x
  3. Step 3: Cross multiply
    169.72x = 235.22 × 167.16
  4. Step 4: Simplify right side
    169.72x = 39,319.38
  5. Step 5: Solve for x
    x = 39,319.38/169.72
  6. Step 6: Final answer
    x = 231.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.