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Finding the Fourth Proportional to 492.81, 680.13 and 306.47

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Solution

The fourth proportional to 492.81, 680.13 and 306.47 is: 422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.81 : 680.13 = 306.47 : x
  2. Step 2: Convert to fraction form
    492.81/680.13 = 306.47/x
  3. Step 3: Cross multiply
    492.81x = 680.13 × 306.47
  4. Step 4: Simplify right side
    492.81x = 208,439.44
  5. Step 5: Solve for x
    x = 208,439.44/492.81
  6. Step 6: Final answer
    x = 422.96

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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.