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Finding the Fourth Proportional to 106.36, 159.31 and 89.27

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Solution

The fourth proportional to 106.36, 159.31 and 89.27 is: 133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.36 : 159.31 = 89.27 : x
  2. Step 2: Convert to fraction form
    106.36/159.31 = 89.27/x
  3. Step 3: Cross multiply
    106.36x = 159.31 × 89.27
  4. Step 4: Simplify right side
    106.36x = 14,221.16
  5. Step 5: Solve for x
    x = 14,221.16/106.36
  6. Step 6: Final answer
    x = 133.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.