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Finding the Fourth Proportional to 150, 206.64 and 120.80

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Solution

The fourth proportional to 150, 206.64 and 120.80 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150 : 206.64 = 120.80 : x
  2. Step 2: Convert to fraction form
    150/206.64 = 120.80/x
  3. Step 3: Cross multiply
    150x = 206.64 × 120.80
  4. Step 4: Simplify right side
    150x = 24,962.11
  5. Step 5: Solve for x
    x = 24,962.11/150
  6. Step 6: Final answer
    x = 166.41

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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.