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Finding the Fourth Proportional to 167.05, 229.89 and 148.42

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Solution

The fourth proportional to 167.05, 229.89 and 148.42 is: 204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.05 : 229.89 = 148.42 : x
  2. Step 2: Convert to fraction form
    167.05/229.89 = 148.42/x
  3. Step 3: Cross multiply
    167.05x = 229.89 × 148.42
  4. Step 4: Simplify right side
    167.05x = 34,120.27
  5. Step 5: Solve for x
    x = 34,120.27/167.05
  6. Step 6: Final answer
    x = 204.25

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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.