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Finding the Fourth Proportional to 200.82, 301.14 and 140.34

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Solution

The fourth proportional to 200.82, 301.14 and 140.34 is: 210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.82 : 301.14 = 140.34 : x
  2. Step 2: Convert to fraction form
    200.82/301.14 = 140.34/x
  3. Step 3: Cross multiply
    200.82x = 301.14 × 140.34
  4. Step 4: Simplify right side
    200.82x = 42,261.99
  5. Step 5: Solve for x
    x = 42,261.99/200.82
  6. Step 6: Final answer
    x = 210.45

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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.