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Finding the Fourth Proportional to 500.23, 749.87 and 268.77

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Solution

The fourth proportional to 500.23, 749.87 and 268.77 is: 402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.23 : 749.87 = 268.77 : x
  2. Step 2: Convert to fraction form
    500.23/749.87 = 268.77/x
  3. Step 3: Cross multiply
    500.23x = 749.87 × 268.77
  4. Step 4: Simplify right side
    500.23x = 201,542.56
  5. Step 5: Solve for x
    x = 201,542.56/500.23
  6. Step 6: Final answer
    x = 402.90

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Why These Related Problems?

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