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Finding the Fourth Proportional to 324.43, 483.20 and 310.39

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Solution

The fourth proportional to 324.43, 483.20 and 310.39 is: 462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.43 : 483.20 = 310.39 : x
  2. Step 2: Convert to fraction form
    324.43/483.20 = 310.39/x
  3. Step 3: Cross multiply
    324.43x = 483.20 × 310.39
  4. Step 4: Simplify right side
    324.43x = 149,980.45
  5. Step 5: Solve for x
    x = 149,980.45/324.43
  6. Step 6: Final answer
    x = 462.29

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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.