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Finding the Fourth Proportional to 324.31, 484.10 and 300.21

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Solution

The fourth proportional to 324.31, 484.10 and 300.21 is: 448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.31 : 484.10 = 300.21 : x
  2. Step 2: Convert to fraction form
    324.31/484.10 = 300.21/x
  3. Step 3: Cross multiply
    324.31x = 484.10 × 300.21
  4. Step 4: Simplify right side
    324.31x = 145,331.66
  5. Step 5: Solve for x
    x = 145,331.66/324.31
  6. Step 6: Final answer
    x = 448.13

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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.