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Finding the Fourth Proportional to 360.07, 496.33 and 272.59

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Solution

The fourth proportional to 360.07, 496.33 and 272.59 is: 375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.07 : 496.33 = 272.59 : x
  2. Step 2: Convert to fraction form
    360.07/496.33 = 272.59/x
  3. Step 3: Cross multiply
    360.07x = 496.33 × 272.59
  4. Step 4: Simplify right side
    360.07x = 135,293.23
  5. Step 5: Solve for x
    x = 135,293.23/360.07
  6. Step 6: Final answer
    x = 375.74

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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.