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Finding the Fourth Proportional to 363.02, 541.47 and 308.30

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Solution

The fourth proportional to 363.02, 541.47 and 308.30 is: 459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.02 : 541.47 = 308.30 : x
  2. Step 2: Convert to fraction form
    363.02/541.47 = 308.30/x
  3. Step 3: Cross multiply
    363.02x = 541.47 × 308.30
  4. Step 4: Simplify right side
    363.02x = 166,933.66
  5. Step 5: Solve for x
    x = 166,933.66/363.02
  6. Step 6: Final answer
    x = 459.85

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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.