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Finding the Fourth Proportional to 360.80, 496.32 and 301.76

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Solution

The fourth proportional to 360.80, 496.32 and 301.76 is: 415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.80 : 496.32 = 301.76 : x
  2. Step 2: Convert to fraction form
    360.80/496.32 = 301.76/x
  3. Step 3: Cross multiply
    360.80x = 496.32 × 301.76
  4. Step 4: Simplify right side
    360.80x = 149,769.52
  5. Step 5: Solve for x
    x = 149,769.52/360.80
  6. Step 6: Final answer
    x = 415.10

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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.