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Finding the Fourth Proportional to 167.01, 230.33 and 111.66

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Solution

The fourth proportional to 167.01, 230.33 and 111.66 is: 153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.01 : 230.33 = 111.66 : x
  2. Step 2: Convert to fraction form
    167.01/230.33 = 111.66/x
  3. Step 3: Cross multiply
    167.01x = 230.33 × 111.66
  4. Step 4: Simplify right side
    167.01x = 25,718.06
  5. Step 5: Solve for x
    x = 25,718.06/167.01
  6. Step 6: Final answer
    x = 153.99

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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.