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Finding the Fourth Proportional to 206.12, 284.13 and 140.51

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Solution

The fourth proportional to 206.12, 284.13 and 140.51 is: 193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.12 : 284.13 = 140.51 : x
  2. Step 2: Convert to fraction form
    206.12/284.13 = 140.51/x
  3. Step 3: Cross multiply
    206.12x = 284.13 × 140.51
  4. Step 4: Simplify right side
    206.12x = 39,923.82
  5. Step 5: Solve for x
    x = 39,923.82/206.12
  6. Step 6: Final answer
    x = 193.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.