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Finding the Fourth Proportional to 494.28, 741.72 and 301.50

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Solution

The fourth proportional to 494.28, 741.72 and 301.50 is: 452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.28 : 741.72 = 301.50 : x
  2. Step 2: Convert to fraction form
    494.28/741.72 = 301.50/x
  3. Step 3: Cross multiply
    494.28x = 741.72 × 301.50
  4. Step 4: Simplify right side
    494.28x = 223,628.58
  5. Step 5: Solve for x
    x = 223,628.58/494.28
  6. Step 6: Final answer
    x = 452.43

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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.