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Finding the Fourth Proportional to 364.26, 500.24 and 311.81

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Solution

The fourth proportional to 364.26, 500.24 and 311.81 is: 428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.26 : 500.24 = 311.81 : x
  2. Step 2: Convert to fraction form
    364.26/500.24 = 311.81/x
  3. Step 3: Cross multiply
    364.26x = 500.24 × 311.81
  4. Step 4: Simplify right side
    364.26x = 155,979.52
  5. Step 5: Solve for x
    x = 155,979.52/364.26
  6. Step 6: Final answer
    x = 428.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.