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Finding the Fourth Proportional to 363.72, 505.02 and 354.90

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Solution

The fourth proportional to 363.72, 505.02 and 354.90 is: 492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.72 : 505.02 = 354.90 : x
  2. Step 2: Convert to fraction form
    363.72/505.02 = 354.90/x
  3. Step 3: Cross multiply
    363.72x = 505.02 × 354.90
  4. Step 4: Simplify right side
    363.72x = 179,231.60
  5. Step 5: Solve for x
    x = 179,231.60/363.72
  6. Step 6: Final answer
    x = 492.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.