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Finding the Fourth Proportional to 149.65, 205.35 and 133.99

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Solution

The fourth proportional to 149.65, 205.35 and 133.99 is: 183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.65 : 205.35 = 133.99 : x
  2. Step 2: Convert to fraction form
    149.65/205.35 = 133.99/x
  3. Step 3: Cross multiply
    149.65x = 205.35 × 133.99
  4. Step 4: Simplify right side
    149.65x = 27,514.85
  5. Step 5: Solve for x
    x = 27,514.85/149.65
  6. Step 6: Final answer
    x = 183.86

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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.