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Finding the Fourth Proportional to 206.02, 284.27 and 128.42

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Solution

The fourth proportional to 206.02, 284.27 and 128.42 is: 177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.02 : 284.27 = 128.42 : x
  2. Step 2: Convert to fraction form
    206.02/284.27 = 128.42/x
  3. Step 3: Cross multiply
    206.02x = 284.27 × 128.42
  4. Step 4: Simplify right side
    206.02x = 36,505.95
  5. Step 5: Solve for x
    x = 36,505.95/206.02
  6. Step 6: Final answer
    x = 177.20

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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.