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Finding the Fourth Proportional to 289.43, 399.29 and 202.15

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Solution

The fourth proportional to 289.43, 399.29 and 202.15 is: 278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.43 : 399.29 = 202.15 : x
  2. Step 2: Convert to fraction form
    289.43/399.29 = 202.15/x
  3. Step 3: Cross multiply
    289.43x = 399.29 × 202.15
  4. Step 4: Simplify right side
    289.43x = 80,716.47
  5. Step 5: Solve for x
    x = 80,716.47/289.43
  6. Step 6: Final answer
    x = 278.88

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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.