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Finding the Fourth Proportional to 206.85, 311.48 and 149.47

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Solution

The fourth proportional to 206.85, 311.48 and 149.47 is: 225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.85 : 311.48 = 149.47 : x
  2. Step 2: Convert to fraction form
    206.85/311.48 = 149.47/x
  3. Step 3: Cross multiply
    206.85x = 311.48 × 149.47
  4. Step 4: Simplify right side
    206.85x = 46,556.51
  5. Step 5: Solve for x
    x = 46,556.51/206.85
  6. Step 6: Final answer
    x = 225.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.