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Finding the Fourth Proportional to 289.62, 399.46 and 209.74

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Solution

The fourth proportional to 289.62, 399.46 and 209.74 is: 289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.62 : 399.46 = 209.74 : x
  2. Step 2: Convert to fraction form
    289.62/399.46 = 209.74/x
  3. Step 3: Cross multiply
    289.62x = 399.46 × 209.74
  4. Step 4: Simplify right side
    289.62x = 83,782.74
  5. Step 5: Solve for x
    x = 83,782.74/289.62
  6. Step 6: Final answer
    x = 289.29

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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.