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Finding the Fourth Proportional to 167.82, 230.61 and 157.02

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Solution

The fourth proportional to 167.82, 230.61 and 157.02 is: 215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.82 : 230.61 = 157.02 : x
  2. Step 2: Convert to fraction form
    167.82/230.61 = 157.02/x
  3. Step 3: Cross multiply
    167.82x = 230.61 × 157.02
  4. Step 4: Simplify right side
    167.82x = 36,210.38
  5. Step 5: Solve for x
    x = 36,210.38/167.82
  6. Step 6: Final answer
    x = 215.77

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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.