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Finding the Fourth Proportional to 492.06, 678.21 and 344.43

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Solution

The fourth proportional to 492.06, 678.21 and 344.43 is: 474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.06 : 678.21 = 344.43 : x
  2. Step 2: Convert to fraction form
    492.06/678.21 = 344.43/x
  3. Step 3: Cross multiply
    492.06x = 678.21 × 344.43
  4. Step 4: Simplify right side
    492.06x = 233,595.87
  5. Step 5: Solve for x
    x = 233,595.87/492.06
  6. Step 6: Final answer
    x = 474.73

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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.