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Finding the Fourth Proportional to 324.58, 487.33 and 309.91

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Solution

The fourth proportional to 324.58, 487.33 and 309.91 is: 465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.58 : 487.33 = 309.91 : x
  2. Step 2: Convert to fraction form
    324.58/487.33 = 309.91/x
  3. Step 3: Cross multiply
    324.58x = 487.33 × 309.91
  4. Step 4: Simplify right side
    324.58x = 151,028.44
  5. Step 5: Solve for x
    x = 151,028.44/324.58
  6. Step 6: Final answer
    x = 465.30

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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.