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Finding the Fourth Proportional to 496.08, 744.13 and 301.28

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Solution

The fourth proportional to 496.08, 744.13 and 301.28 is: 451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.08 : 744.13 = 301.28 : x
  2. Step 2: Convert to fraction form
    496.08/744.13 = 301.28/x
  3. Step 3: Cross multiply
    496.08x = 744.13 × 301.28
  4. Step 4: Simplify right side
    496.08x = 224,191.49
  5. Step 5: Solve for x
    x = 224,191.49/496.08
  6. Step 6: Final answer
    x = 451.93

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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.