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Finding the Fourth Proportional to 415.39, 573.44 and 268.28

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Solution

The fourth proportional to 415.39, 573.44 and 268.28 is: 370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.39 : 573.44 = 268.28 : x
  2. Step 2: Convert to fraction form
    415.39/573.44 = 268.28/x
  3. Step 3: Cross multiply
    415.39x = 573.44 × 268.28
  4. Step 4: Simplify right side
    415.39x = 153,842.48
  5. Step 5: Solve for x
    x = 153,842.48/415.39
  6. Step 6: Final answer
    x = 370.36

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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.