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Finding the Fourth Proportional to 289.43, 399.40 and 158.43

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Solution

The fourth proportional to 289.43, 399.40 and 158.43 is: 218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.43 : 399.40 = 158.43 : x
  2. Step 2: Convert to fraction form
    289.43/399.40 = 158.43/x
  3. Step 3: Cross multiply
    289.43x = 399.40 × 158.43
  4. Step 4: Simplify right side
    289.43x = 63,276.94
  5. Step 5: Solve for x
    x = 63,276.94/289.43
  6. Step 6: Final answer
    x = 218.63

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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.