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Finding the Fourth Proportional to 289.11, 398.98 and 158.12

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Solution

The fourth proportional to 289.11, 398.98 and 158.12 is: 218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.11 : 398.98 = 158.12 : x
  2. Step 2: Convert to fraction form
    289.11/398.98 = 158.12/x
  3. Step 3: Cross multiply
    289.11x = 398.98 × 158.12
  4. Step 4: Simplify right side
    289.11x = 63,087.32
  5. Step 5: Solve for x
    x = 63,087.32/289.11
  6. Step 6: Final answer
    x = 218.21

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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.