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Finding the Fourth Proportional to 289.27, 398.60 and 206.20

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Solution

The fourth proportional to 289.27, 398.60 and 206.20 is: 284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.27 : 398.60 = 206.20 : x
  2. Step 2: Convert to fraction form
    289.27/398.60 = 206.20/x
  3. Step 3: Cross multiply
    289.27x = 398.60 × 206.20
  4. Step 4: Simplify right side
    289.27x = 82,190.07
  5. Step 5: Solve for x
    x = 82,190.07/289.27
  6. Step 6: Final answer
    x = 284.13

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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.