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Finding the Fourth Proportional to 166.81, 230.05 and 117.67

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Solution

The fourth proportional to 166.81, 230.05 and 117.67 is: 162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.81 : 230.05 = 117.67 : x
  2. Step 2: Convert to fraction form
    166.81/230.05 = 117.67/x
  3. Step 3: Cross multiply
    166.81x = 230.05 × 117.67
  4. Step 4: Simplify right side
    166.81x = 27,069.98
  5. Step 5: Solve for x
    x = 27,069.98/166.81
  6. Step 6: Final answer
    x = 162.28

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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.