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Finding the Fourth Proportional to 119.94, 166.37 and 114.90

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Solution

The fourth proportional to 119.94, 166.37 and 114.90 is: 159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.94 : 166.37 = 114.90 : x
  2. Step 2: Convert to fraction form
    119.94/166.37 = 114.90/x
  3. Step 3: Cross multiply
    119.94x = 166.37 × 114.90
  4. Step 4: Simplify right side
    119.94x = 19,115.34
  5. Step 5: Solve for x
    x = 19,115.34/119.94
  6. Step 6: Final answer
    x = 159.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.