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Finding the Fourth Proportional to 205.82, 308.50 and 148.04

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Solution

The fourth proportional to 205.82, 308.50 and 148.04 is: 221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 308.50 = 148.04 : x
  2. Step 2: Convert to fraction form
    205.82/308.50 = 148.04/x
  3. Step 3: Cross multiply
    205.82x = 308.50 × 148.04
  4. Step 4: Simplify right side
    205.82x = 45,668.43
  5. Step 5: Solve for x
    x = 45,668.43/205.82
  6. Step 6: Final answer
    x = 221.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.