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Finding the Fourth Proportional to 289.22, 399.13 and 158.22

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Solution

The fourth proportional to 289.22, 399.13 and 158.22 is: 218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.22 : 399.13 = 158.22 : x
  2. Step 2: Convert to fraction form
    289.22/399.13 = 158.22/x
  3. Step 3: Cross multiply
    289.22x = 399.13 × 158.22
  4. Step 4: Simplify right side
    289.22x = 63,149.95
  5. Step 5: Solve for x
    x = 63,149.95/289.22
  6. Step 6: Final answer
    x = 218.35

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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.