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Finding the Fourth Proportional to 492.12, 678.78 and 381.33

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Solution

The fourth proportional to 492.12, 678.78 and 381.33 is: 525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.12 : 678.78 = 381.33 : x
  2. Step 2: Convert to fraction form
    492.12/678.78 = 381.33/x
  3. Step 3: Cross multiply
    492.12x = 678.78 × 381.33
  4. Step 4: Simplify right side
    492.12x = 258,839.18
  5. Step 5: Solve for x
    x = 258,839.18/492.12
  6. Step 6: Final answer
    x = 525.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.