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Finding the Fourth Proportional to 120.98, 180.26 and 116.42

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Solution

The fourth proportional to 120.98, 180.26 and 116.42 is: 173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.98 : 180.26 = 116.42 : x
  2. Step 2: Convert to fraction form
    120.98/180.26 = 116.42/x
  3. Step 3: Cross multiply
    120.98x = 180.26 × 116.42
  4. Step 4: Simplify right side
    120.98x = 20,984.82
  5. Step 5: Solve for x
    x = 20,984.82/120.98
  6. Step 6: Final answer
    x = 173.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.