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Finding the Fourth Proportional to 498.22, 745.96 and 253.55

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Solution

The fourth proportional to 498.22, 745.96 and 253.55 is: 379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.22 : 745.96 = 253.55 : x
  2. Step 2: Convert to fraction form
    498.22/745.96 = 253.55/x
  3. Step 3: Cross multiply
    498.22x = 745.96 × 253.55
  4. Step 4: Simplify right side
    498.22x = 189,133.79
  5. Step 5: Solve for x
    x = 189,133.79/498.22
  6. Step 6: Final answer
    x = 379.62

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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.