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Finding the Fourth Proportional to 496.48, 743 and 301.38

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Solution

The fourth proportional to 496.48, 743 and 301.38 is: 451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.48 : 743 = 301.38 : x
  2. Step 2: Convert to fraction form
    496.48/743 = 301.38/x
  3. Step 3: Cross multiply
    496.48x = 743 × 301.38
  4. Step 4: Simplify right side
    496.48x = 223,925.34
  5. Step 5: Solve for x
    x = 223,925.34/496.48
  6. Step 6: Final answer
    x = 451.03

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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.