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Finding the Fourth Proportional to 498.06, 747.52 and 254.72

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Solution

The fourth proportional to 498.06, 747.52 and 254.72 is: 382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.06 : 747.52 = 254.72 : x
  2. Step 2: Convert to fraction form
    498.06/747.52 = 254.72/x
  3. Step 3: Cross multiply
    498.06x = 747.52 × 254.72
  4. Step 4: Simplify right side
    498.06x = 190,408.29
  5. Step 5: Solve for x
    x = 190,408.29/498.06
  6. Step 6: Final answer
    x = 382.30

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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.