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Finding the Fourth Proportional to 167.05, 230.39 and 157.33

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Solution

The fourth proportional to 167.05, 230.39 and 157.33 is: 216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.05 : 230.39 = 157.33 : x
  2. Step 2: Convert to fraction form
    167.05/230.39 = 157.33/x
  3. Step 3: Cross multiply
    167.05x = 230.39 × 157.33
  4. Step 4: Simplify right side
    167.05x = 36,246.47
  5. Step 5: Solve for x
    x = 36,246.47/167.05
  6. Step 6: Final answer
    x = 216.98

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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.