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Finding the Fourth Proportional to 150.68, 206.66 and 144.11

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Solution

The fourth proportional to 150.68, 206.66 and 144.11 is: 197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.68 : 206.66 = 144.11 : x
  2. Step 2: Convert to fraction form
    150.68/206.66 = 144.11/x
  3. Step 3: Cross multiply
    150.68x = 206.66 × 144.11
  4. Step 4: Simplify right side
    150.68x = 29,782.65
  5. Step 5: Solve for x
    x = 29,782.65/150.68
  6. Step 6: Final answer
    x = 197.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.