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Finding the Fourth Proportional to 325.31, 484.67 and 309.83

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Solution

The fourth proportional to 325.31, 484.67 and 309.83 is: 461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.31 : 484.67 = 309.83 : x
  2. Step 2: Convert to fraction form
    325.31/484.67 = 309.83/x
  3. Step 3: Cross multiply
    325.31x = 484.67 × 309.83
  4. Step 4: Simplify right side
    325.31x = 150,165.31
  5. Step 5: Solve for x
    x = 150,165.31/325.31
  6. Step 6: Final answer
    x = 461.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.