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Finding the Fourth Proportional to 498.07, 747.24 and 254.80

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Solution

The fourth proportional to 498.07, 747.24 and 254.80 is: 382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.07 : 747.24 = 254.80 : x
  2. Step 2: Convert to fraction form
    498.07/747.24 = 254.80/x
  3. Step 3: Cross multiply
    498.07x = 747.24 × 254.80
  4. Step 4: Simplify right side
    498.07x = 190,396.75
  5. Step 5: Solve for x
    x = 190,396.75/498.07
  6. Step 6: Final answer
    x = 382.27

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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.