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Finding the Fourth Proportional to 394.70, 591.62 and 163.58

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Solution

The fourth proportional to 394.70, 591.62 and 163.58 is: 245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.70 : 591.62 = 163.58 : x
  2. Step 2: Convert to fraction form
    394.70/591.62 = 163.58/x
  3. Step 3: Cross multiply
    394.70x = 591.62 × 163.58
  4. Step 4: Simplify right side
    394.70x = 96,773.42
  5. Step 5: Solve for x
    x = 96,773.42/394.70
  6. Step 6: Final answer
    x = 245.19

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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.