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Finding the Fourth Proportional to 205.82, 307.34 and 140.31

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Solution

The fourth proportional to 205.82, 307.34 and 140.31 is: 209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 307.34 = 140.31 : x
  2. Step 2: Convert to fraction form
    205.82/307.34 = 140.31/x
  3. Step 3: Cross multiply
    205.82x = 307.34 × 140.31
  4. Step 4: Simplify right side
    205.82x = 43,122.88
  5. Step 5: Solve for x
    x = 43,122.88/205.82
  6. Step 6: Final answer
    x = 209.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.