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Finding the Fourth Proportional to 331.90, 498.39 and 259.54

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Solution

The fourth proportional to 331.90, 498.39 and 259.54 is: 389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.90 : 498.39 = 259.54 : x
  2. Step 2: Convert to fraction form
    331.90/498.39 = 259.54/x
  3. Step 3: Cross multiply
    331.90x = 498.39 × 259.54
  4. Step 4: Simplify right side
    331.90x = 129,352.14
  5. Step 5: Solve for x
    x = 129,352.14/331.90
  6. Step 6: Final answer
    x = 389.73

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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.