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Finding the Fourth Proportional to 394.65, 592.02 and 163.62

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Solution

The fourth proportional to 394.65, 592.02 and 163.62 is: 245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.65 : 592.02 = 163.62 : x
  2. Step 2: Convert to fraction form
    394.65/592.02 = 163.62/x
  3. Step 3: Cross multiply
    394.65x = 592.02 × 163.62
  4. Step 4: Simplify right side
    394.65x = 96,866.31
  5. Step 5: Solve for x
    x = 96,866.31/394.65
  6. Step 6: Final answer
    x = 245.45

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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.