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Finding the Fourth Proportional to 120.37, 166.99 and 116.05

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Solution

The fourth proportional to 120.37, 166.99 and 116.05 is: 161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.37 : 166.99 = 116.05 : x
  2. Step 2: Convert to fraction form
    120.37/166.99 = 116.05/x
  3. Step 3: Cross multiply
    120.37x = 166.99 × 116.05
  4. Step 4: Simplify right side
    120.37x = 19,379.19
  5. Step 5: Solve for x
    x = 19,379.19/120.37
  6. Step 6: Final answer
    x = 161.00

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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.