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Finding the Fourth Proportional to 492.61, 680.02 and 353.41

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Solution

The fourth proportional to 492.61, 680.02 and 353.41 is: 487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.61 : 680.02 = 353.41 : x
  2. Step 2: Convert to fraction form
    492.61/680.02 = 353.41/x
  3. Step 3: Cross multiply
    492.61x = 680.02 × 353.41
  4. Step 4: Simplify right side
    492.61x = 240,328.10
  5. Step 5: Solve for x
    x = 240,328.10/492.61
  6. Step 6: Final answer
    x = 487.87

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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.