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Finding the Fourth Proportional to 415.61, 573.44 and 268.21

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Solution

The fourth proportional to 415.61, 573.44 and 268.21 is: 370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.61 : 573.44 = 268.21 : x
  2. Step 2: Convert to fraction form
    415.61/573.44 = 268.21/x
  3. Step 3: Cross multiply
    415.61x = 573.44 × 268.21
  4. Step 4: Simplify right side
    415.61x = 153,799.57
  5. Step 5: Solve for x
    x = 153,799.57/415.61
  6. Step 6: Final answer
    x = 370.06

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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.