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Finding the Fourth Proportional to 492.08, 679.16 and 344.61

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Solution

The fourth proportional to 492.08, 679.16 and 344.61 is: 475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.08 : 679.16 = 344.61 : x
  2. Step 2: Convert to fraction form
    492.08/679.16 = 344.61/x
  3. Step 3: Cross multiply
    492.08x = 679.16 × 344.61
  4. Step 4: Simplify right side
    492.08x = 234,047.13
  5. Step 5: Solve for x
    x = 234,047.13/492.08
  6. Step 6: Final answer
    x = 475.62

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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.