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Finding the Fourth Proportional to 363.28, 541.86 and 304.82

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Solution

The fourth proportional to 363.28, 541.86 and 304.82 is: 454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.28 : 541.86 = 304.82 : x
  2. Step 2: Convert to fraction form
    363.28/541.86 = 304.82/x
  3. Step 3: Cross multiply
    363.28x = 541.86 × 304.82
  4. Step 4: Simplify right side
    363.28x = 165,168.24
  5. Step 5: Solve for x
    x = 165,168.24/363.28
  6. Step 6: Final answer
    x = 454.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.