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Finding the Fourth Proportional to 289.38, 434.20 and 208.46

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Solution

The fourth proportional to 289.38, 434.20 and 208.46 is: 312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.38 : 434.20 = 208.46 : x
  2. Step 2: Convert to fraction form
    289.38/434.20 = 208.46/x
  3. Step 3: Cross multiply
    289.38x = 434.20 × 208.46
  4. Step 4: Simplify right side
    289.38x = 90,513.33
  5. Step 5: Solve for x
    x = 90,513.33/289.38
  6. Step 6: Final answer
    x = 312.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.