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Finding the Fourth Proportional to 289.88, 400.03 and 158.88

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Solution

The fourth proportional to 289.88, 400.03 and 158.88 is: 219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.88 : 400.03 = 158.88 : x
  2. Step 2: Convert to fraction form
    289.88/400.03 = 158.88/x
  3. Step 3: Cross multiply
    289.88x = 400.03 × 158.88
  4. Step 4: Simplify right side
    289.88x = 63,556.97
  5. Step 5: Solve for x
    x = 63,556.97/289.88
  6. Step 6: Final answer
    x = 219.26

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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.