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Finding the Fourth Proportional to 150, 206.96 and 100.80

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Solution

The fourth proportional to 150, 206.96 and 100.80 is: 139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150 : 206.96 = 100.80 : x
  2. Step 2: Convert to fraction form
    150/206.96 = 100.80/x
  3. Step 3: Cross multiply
    150x = 206.96 × 100.80
  4. Step 4: Simplify right side
    150x = 20,861.57
  5. Step 5: Solve for x
    x = 20,861.57/150
  6. Step 6: Final answer
    x = 139.08

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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.