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Finding the Fourth Proportional to 120.53, 167.18 and 116.42

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Solution

The fourth proportional to 120.53, 167.18 and 116.42 is: 161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.53 : 167.18 = 116.42 : x
  2. Step 2: Convert to fraction form
    120.53/167.18 = 116.42/x
  3. Step 3: Cross multiply
    120.53x = 167.18 × 116.42
  4. Step 4: Simplify right side
    120.53x = 19,461.68
  5. Step 5: Solve for x
    x = 19,461.68/120.53
  6. Step 6: Final answer
    x = 161.46

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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.