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Finding the Fourth Proportional to 500.26, 749.63 and 256.96

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Solution

The fourth proportional to 500.26, 749.63 and 256.96 is: 385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.26 : 749.63 = 256.96 : x
  2. Step 2: Convert to fraction form
    500.26/749.63 = 256.96/x
  3. Step 3: Cross multiply
    500.26x = 749.63 × 256.96
  4. Step 4: Simplify right side
    500.26x = 192,624.92
  5. Step 5: Solve for x
    x = 192,624.92/500.26
  6. Step 6: Final answer
    x = 385.05

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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.