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Finding the Fourth Proportional to 167.14, 229.30 and 157.83

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Solution

The fourth proportional to 167.14, 229.30 and 157.83 is: 216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.14 : 229.30 = 157.83 : x
  2. Step 2: Convert to fraction form
    167.14/229.30 = 157.83/x
  3. Step 3: Cross multiply
    167.14x = 229.30 × 157.83
  4. Step 4: Simplify right side
    167.14x = 36,190.42
  5. Step 5: Solve for x
    x = 36,190.42/167.14
  6. Step 6: Final answer
    x = 216.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.