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Finding the Fourth Proportional to 120.15, 179.94 and 62.22

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Solution

The fourth proportional to 120.15, 179.94 and 62.22 is: 93.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.15 : 179.94 = 62.22 : x
  2. Step 2: Convert to fraction form
    120.15/179.94 = 62.22/x
  3. Step 3: Cross multiply
    120.15x = 179.94 × 62.22
  4. Step 4: Simplify right side
    120.15x = 11,195.87
  5. Step 5: Solve for x
    x = 11,195.87/120.15
  6. Step 6: Final answer
    x = 93.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.