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Finding the Fourth Proportional to 394.06, 591.10 and 120.16

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Solution

The fourth proportional to 394.06, 591.10 and 120.16 is: 180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.06 : 591.10 = 120.16 : x
  2. Step 2: Convert to fraction form
    394.06/591.10 = 120.16/x
  3. Step 3: Cross multiply
    394.06x = 591.10 × 120.16
  4. Step 4: Simplify right side
    394.06x = 71,026.58
  5. Step 5: Solve for x
    x = 71,026.58/394.06
  6. Step 6: Final answer
    x = 180.24

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