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Finding the Fourth Proportional to 166.23, 229.14 and 117

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Solution

The fourth proportional to 166.23, 229.14 and 117 is: 161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.23 : 229.14 = 117 : x
  2. Step 2: Convert to fraction form
    166.23/229.14 = 117/x
  3. Step 3: Cross multiply
    166.23x = 229.14 × 117
  4. Step 4: Simplify right side
    166.23x = 26,809.38
  5. Step 5: Solve for x
    x = 26,809.38/166.23
  6. Step 6: Final answer
    x = 161.28

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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.