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Finding the Fourth Proportional to 120.15, 179.97 and 94.35

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Solution

The fourth proportional to 120.15, 179.97 and 94.35 is: 141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.15 : 179.97 = 94.35 : x
  2. Step 2: Convert to fraction form
    120.15/179.97 = 94.35/x
  3. Step 3: Cross multiply
    120.15x = 179.97 × 94.35
  4. Step 4: Simplify right side
    120.15x = 16,980.01
  5. Step 5: Solve for x
    x = 16,980.01/120.15
  6. Step 6: Final answer
    x = 141.32

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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.