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Finding the Fourth Proportional to 324.88, 488.07 and 203.23

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Solution

The fourth proportional to 324.88, 488.07 and 203.23 is: 305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.88 : 488.07 = 203.23 : x
  2. Step 2: Convert to fraction form
    324.88/488.07 = 203.23/x
  3. Step 3: Cross multiply
    324.88x = 488.07 × 203.23
  4. Step 4: Simplify right side
    324.88x = 99,190.01
  5. Step 5: Solve for x
    x = 99,190.01/324.88
  6. Step 6: Final answer
    x = 305.32

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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.