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Finding the Fourth Proportional to 120.79, 180.19 and 101.66

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Solution

The fourth proportional to 120.79, 180.19 and 101.66 is: 151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.79 : 180.19 = 101.66 : x
  2. Step 2: Convert to fraction form
    120.79/180.19 = 101.66/x
  3. Step 3: Cross multiply
    120.79x = 180.19 × 101.66
  4. Step 4: Simplify right side
    120.79x = 18,317.34
  5. Step 5: Solve for x
    x = 18,317.34/120.79
  6. Step 6: Final answer
    x = 151.64

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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.