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Finding the Fourth Proportional to 167.10, 230.19 and 128.22

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Solution

The fourth proportional to 167.10, 230.19 and 128.22 is: 176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.10 : 230.19 = 128.22 : x
  2. Step 2: Convert to fraction form
    167.10/230.19 = 128.22/x
  3. Step 3: Cross multiply
    167.10x = 230.19 × 128.22
  4. Step 4: Simplify right side
    167.10x = 29,514.96
  5. Step 5: Solve for x
    x = 29,514.96/167.10
  6. Step 6: Final answer
    x = 176.63

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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.