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Finding the Fourth Proportional to 499.35, 749.23 and 225.57

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Solution

The fourth proportional to 499.35, 749.23 and 225.57 is: 338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.35 : 749.23 = 225.57 : x
  2. Step 2: Convert to fraction form
    499.35/749.23 = 225.57/x
  3. Step 3: Cross multiply
    499.35x = 749.23 × 225.57
  4. Step 4: Simplify right side
    499.35x = 169,003.81
  5. Step 5: Solve for x
    x = 169,003.81/499.35
  6. Step 6: Final answer
    x = 338.45

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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.