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Finding the Fourth Proportional to 405.20, 559.44 and 363.62

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Solution

The fourth proportional to 405.20, 559.44 and 363.62 is: 502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.20 : 559.44 = 363.62 : x
  2. Step 2: Convert to fraction form
    405.20/559.44 = 363.62/x
  3. Step 3: Cross multiply
    405.20x = 559.44 × 363.62
  4. Step 4: Simplify right side
    405.20x = 203,423.57
  5. Step 5: Solve for x
    x = 203,423.57/405.20
  6. Step 6: Final answer
    x = 502.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.