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Finding the Fourth Proportional to 205.79, 284.04 and 140.45

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Solution

The fourth proportional to 205.79, 284.04 and 140.45 is: 193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.79 : 284.04 = 140.45 : x
  2. Step 2: Convert to fraction form
    205.79/284.04 = 140.45/x
  3. Step 3: Cross multiply
    205.79x = 284.04 × 140.45
  4. Step 4: Simplify right side
    205.79x = 39,893.42
  5. Step 5: Solve for x
    x = 39,893.42/205.79
  6. Step 6: Final answer
    x = 193.85

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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.