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Finding the Fourth Proportional to 415.48, 573.60 and 338.80

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Solution

The fourth proportional to 415.48, 573.60 and 338.80 is: 467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.48 : 573.60 = 338.80 : x
  2. Step 2: Convert to fraction form
    415.48/573.60 = 338.80/x
  3. Step 3: Cross multiply
    415.48x = 573.60 × 338.80
  4. Step 4: Simplify right side
    415.48x = 194,335.68
  5. Step 5: Solve for x
    x = 194,335.68/415.48
  6. Step 6: Final answer
    x = 467.74

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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.