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Finding the Fourth Proportional to 289.38, 398.76 and 206.25

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Solution

The fourth proportional to 289.38, 398.76 and 206.25 is: 284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.38 : 398.76 = 206.25 : x
  2. Step 2: Convert to fraction form
    289.38/398.76 = 206.25/x
  3. Step 3: Cross multiply
    289.38x = 398.76 × 206.25
  4. Step 4: Simplify right side
    289.38x = 82,244.25
  5. Step 5: Solve for x
    x = 82,244.25/289.38
  6. Step 6: Final answer
    x = 284.21

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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.