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Finding the Fourth Proportional to 500.40, 750.96 and 211.92

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Solution

The fourth proportional to 500.40, 750.96 and 211.92 is: 318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 750.96 = 211.92 : x
  2. Step 2: Convert to fraction form
    500.40/750.96 = 211.92/x
  3. Step 3: Cross multiply
    500.40x = 750.96 × 211.92
  4. Step 4: Simplify right side
    500.40x = 159,143.44
  5. Step 5: Solve for x
    x = 159,143.44/500.40
  6. Step 6: Final answer
    x = 318.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.