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Finding the Fourth Proportional to 415.86, 573.61 and 275.97

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Solution

The fourth proportional to 415.86, 573.61 and 275.97 is: 380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.86 : 573.61 = 275.97 : x
  2. Step 2: Convert to fraction form
    415.86/573.61 = 275.97/x
  3. Step 3: Cross multiply
    415.86x = 573.61 × 275.97
  4. Step 4: Simplify right side
    415.86x = 158,299.15
  5. Step 5: Solve for x
    x = 158,299.15/415.86
  6. Step 6: Final answer
    x = 380.65

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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.