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Finding the Fourth Proportional to 167.14, 230.22 and 153.34

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Solution

The fourth proportional to 167.14, 230.22 and 153.34 is: 211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.14 : 230.22 = 153.34 : x
  2. Step 2: Convert to fraction form
    167.14/230.22 = 153.34/x
  3. Step 3: Cross multiply
    167.14x = 230.22 × 153.34
  4. Step 4: Simplify right side
    167.14x = 35,301.93
  5. Step 5: Solve for x
    x = 35,301.93/167.14
  6. Step 6: Final answer
    x = 211.21

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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.