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Finding the Fourth Proportional to 206.13, 284.40 and 159.42

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Solution

The fourth proportional to 206.13, 284.40 and 159.42 is: 219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.13 : 284.40 = 159.42 : x
  2. Step 2: Convert to fraction form
    206.13/284.40 = 159.42/x
  3. Step 3: Cross multiply
    206.13x = 284.40 × 159.42
  4. Step 4: Simplify right side
    206.13x = 45,339.05
  5. Step 5: Solve for x
    x = 45,339.05/206.13
  6. Step 6: Final answer
    x = 219.95

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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.