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Finding the Fourth Proportional to 206.28, 284.78 and 136.35

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Solution

The fourth proportional to 206.28, 284.78 and 136.35 is: 188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.28 : 284.78 = 136.35 : x
  2. Step 2: Convert to fraction form
    206.28/284.78 = 136.35/x
  3. Step 3: Cross multiply
    206.28x = 284.78 × 136.35
  4. Step 4: Simplify right side
    206.28x = 38,830.09
  5. Step 5: Solve for x
    x = 38,830.09/206.28
  6. Step 6: Final answer
    x = 188.24

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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.