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Finding the Fourth Proportional to 494.47, 682.44 and 308.02

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Solution

The fourth proportional to 494.47, 682.44 and 308.02 is: 425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.47 : 682.44 = 308.02 : x
  2. Step 2: Convert to fraction form
    494.47/682.44 = 308.02/x
  3. Step 3: Cross multiply
    494.47x = 682.44 × 308.02
  4. Step 4: Simplify right side
    494.47x = 210,205.17
  5. Step 5: Solve for x
    x = 210,205.17/494.47
  6. Step 6: Final answer
    x = 425.11

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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.