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Finding the Fourth Proportional to 332.40, 496.48 and 255.36

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Solution

The fourth proportional to 332.40, 496.48 and 255.36 is: 381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.40 : 496.48 = 255.36 : x
  2. Step 2: Convert to fraction form
    332.40/496.48 = 255.36/x
  3. Step 3: Cross multiply
    332.40x = 496.48 × 255.36
  4. Step 4: Simplify right side
    332.40x = 126,781.13
  5. Step 5: Solve for x
    x = 126,781.13/332.40
  6. Step 6: Final answer
    x = 381.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.