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Finding the Fourth Proportional to 492.74, 680.37 and 306.44

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Solution

The fourth proportional to 492.74, 680.37 and 306.44 is: 423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.74 : 680.37 = 306.44 : x
  2. Step 2: Convert to fraction form
    492.74/680.37 = 306.44/x
  3. Step 3: Cross multiply
    492.74x = 680.37 × 306.44
  4. Step 4: Simplify right side
    492.74x = 208,492.58
  5. Step 5: Solve for x
    x = 208,492.58/492.74
  6. Step 6: Final answer
    x = 423.13

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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.