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Finding the Fourth Proportional to 324.20, 488.63 and 306.60

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Solution

The fourth proportional to 324.20, 488.63 and 306.60 is: 462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.20 : 488.63 = 306.60 : x
  2. Step 2: Convert to fraction form
    324.20/488.63 = 306.60/x
  3. Step 3: Cross multiply
    324.20x = 488.63 × 306.60
  4. Step 4: Simplify right side
    324.20x = 149,812.43
  5. Step 5: Solve for x
    x = 149,812.43/324.20
  6. Step 6: Final answer
    x = 462.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.