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Finding the Fourth Proportional to 499.83, 749.79 and 226.08

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Solution

The fourth proportional to 499.83, 749.79 and 226.08 is: 339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.83 : 749.79 = 226.08 : x
  2. Step 2: Convert to fraction form
    499.83/749.79 = 226.08/x
  3. Step 3: Cross multiply
    499.83x = 749.79 × 226.08
  4. Step 4: Simplify right side
    499.83x = 169,512.52
  5. Step 5: Solve for x
    x = 169,512.52/499.83
  6. Step 6: Final answer
    x = 339.14

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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.