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Finding the Fourth Proportional to 499.45, 748.23 and 282.37

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Solution

The fourth proportional to 499.45, 748.23 and 282.37 is: 423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.45 : 748.23 = 282.37 : x
  2. Step 2: Convert to fraction form
    499.45/748.23 = 282.37/x
  3. Step 3: Cross multiply
    499.45x = 748.23 × 282.37
  4. Step 4: Simplify right side
    499.45x = 211,277.71
  5. Step 5: Solve for x
    x = 211,277.71/499.45
  6. Step 6: Final answer
    x = 423.02

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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.