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Finding the Fourth Proportional to 166.87, 230.20 and 100.50

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Solution

The fourth proportional to 166.87, 230.20 and 100.50 is: 138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.87 : 230.20 = 100.50 : x
  2. Step 2: Convert to fraction form
    166.87/230.20 = 100.50/x
  3. Step 3: Cross multiply
    166.87x = 230.20 × 100.50
  4. Step 4: Simplify right side
    166.87x = 23,135.10
  5. Step 5: Solve for x
    x = 23,135.10/166.87
  6. Step 6: Final answer
    x = 138.65

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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.