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Finding the Fourth Proportional to 480.24, 662.43 and 293.55

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Solution

The fourth proportional to 480.24, 662.43 and 293.55 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.24 : 662.43 = 293.55 : x
  2. Step 2: Convert to fraction form
    480.24/662.43 = 293.55/x
  3. Step 3: Cross multiply
    480.24x = 662.43 × 293.55
  4. Step 4: Simplify right side
    480.24x = 194,456.33
  5. Step 5: Solve for x
    x = 194,456.33/480.24
  6. Step 6: Final answer
    x = 404.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.