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Finding the Fourth Proportional to 324.70, 484.43 and 309.24

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Solution

The fourth proportional to 324.70, 484.43 and 309.24 is: 461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.70 : 484.43 = 309.24 : x
  2. Step 2: Convert to fraction form
    324.70/484.43 = 309.24/x
  3. Step 3: Cross multiply
    324.70x = 484.43 × 309.24
  4. Step 4: Simplify right side
    324.70x = 149,805.13
  5. Step 5: Solve for x
    x = 149,805.13/324.70
  6. Step 6: Final answer
    x = 461.36

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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.