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Finding the Fourth Proportional to 166.36, 229.58 and 100.85

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Solution

The fourth proportional to 166.36, 229.58 and 100.85 is: 139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 229.58 = 100.85 : x
  2. Step 2: Convert to fraction form
    166.36/229.58 = 100.85/x
  3. Step 3: Cross multiply
    166.36x = 229.58 × 100.85
  4. Step 4: Simplify right side
    166.36x = 23,153.14
  5. Step 5: Solve for x
    x = 23,153.14/166.36
  6. Step 6: Final answer
    x = 139.17

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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.