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Finding the Fourth Proportional to 205.91, 308.76 and 140.93

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Solution

The fourth proportional to 205.91, 308.76 and 140.93 is: 211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.91 : 308.76 = 140.93 : x
  2. Step 2: Convert to fraction form
    205.91/308.76 = 140.93/x
  3. Step 3: Cross multiply
    205.91x = 308.76 × 140.93
  4. Step 4: Simplify right side
    205.91x = 43,514.32
  5. Step 5: Solve for x
    x = 43,514.32/205.91
  6. Step 6: Final answer
    x = 211.32

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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.