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Finding the Fourth Proportional to 492.25, 738.44 and 232.12

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Solution

The fourth proportional to 492.25, 738.44 and 232.12 is: 348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.25 : 738.44 = 232.12 : x
  2. Step 2: Convert to fraction form
    492.25/738.44 = 232.12/x
  3. Step 3: Cross multiply
    492.25x = 738.44 × 232.12
  4. Step 4: Simplify right side
    492.25x = 171,406.69
  5. Step 5: Solve for x
    x = 171,406.69/492.25
  6. Step 6: Final answer
    x = 348.21

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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.