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Finding the Fourth Proportional to 324.88, 488.04 and 309.04

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Solution

The fourth proportional to 324.88, 488.04 and 309.04 is: 464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.88 : 488.04 = 309.04 : x
  2. Step 2: Convert to fraction form
    324.88/488.04 = 309.04/x
  3. Step 3: Cross multiply
    324.88x = 488.04 × 309.04
  4. Step 4: Simplify right side
    324.88x = 150,823.88
  5. Step 5: Solve for x
    x = 150,823.88/324.88
  6. Step 6: Final answer
    x = 464.24

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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.