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Finding the Fourth Proportional to 150.65, 205.74 and 149.03

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Solution

The fourth proportional to 150.65, 205.74 and 149.03 is: 203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.65 : 205.74 = 149.03 : x
  2. Step 2: Convert to fraction form
    150.65/205.74 = 149.03/x
  3. Step 3: Cross multiply
    150.65x = 205.74 × 149.03
  4. Step 4: Simplify right side
    150.65x = 30,661.43
  5. Step 5: Solve for x
    x = 30,661.43/150.65
  6. Step 6: Final answer
    x = 203.53

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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.