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Finding the Fourth Proportional to 394.32, 591.57 and 120.45

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Solution

The fourth proportional to 394.32, 591.57 and 120.45 is: 180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.32 : 591.57 = 120.45 : x
  2. Step 2: Convert to fraction form
    394.32/591.57 = 120.45/x
  3. Step 3: Cross multiply
    394.32x = 591.57 × 120.45
  4. Step 4: Simplify right side
    394.32x = 71,254.61
  5. Step 5: Solve for x
    x = 71,254.61/394.32
  6. Step 6: Final answer
    x = 180.70

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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.