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Finding the Fourth Proportional to 498.40, 746.80 and 254.56

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Solution

The fourth proportional to 498.40, 746.80 and 254.56 is: 381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 746.80 = 254.56 : x
  2. Step 2: Convert to fraction form
    498.40/746.80 = 254.56/x
  3. Step 3: Cross multiply
    498.40x = 746.80 × 254.56
  4. Step 4: Simplify right side
    498.40x = 190,105.41
  5. Step 5: Solve for x
    x = 190,105.41/498.40
  6. Step 6: Final answer
    x = 381.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.