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Finding the Fourth Proportional to 493.99, 741.26 and 301.75

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Solution

The fourth proportional to 493.99, 741.26 and 301.75 is: 452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.99 : 741.26 = 301.75 : x
  2. Step 2: Convert to fraction form
    493.99/741.26 = 301.75/x
  3. Step 3: Cross multiply
    493.99x = 741.26 × 301.75
  4. Step 4: Simplify right side
    493.99x = 223,675.21
  5. Step 5: Solve for x
    x = 223,675.21/493.99
  6. Step 6: Final answer
    x = 452.79

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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.