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Finding the Fourth Proportional to 166.19, 229.23 and 138.71

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Solution

The fourth proportional to 166.19, 229.23 and 138.71 is: 191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.19 : 229.23 = 138.71 : x
  2. Step 2: Convert to fraction form
    166.19/229.23 = 138.71/x
  3. Step 3: Cross multiply
    166.19x = 229.23 × 138.71
  4. Step 4: Simplify right side
    166.19x = 31,797.07
  5. Step 5: Solve for x
    x = 31,797.07/166.19
  6. Step 6: Final answer
    x = 191.34

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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.