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Finding the Fourth Proportional to 306.87, 457.58 and 301.41

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Solution

The fourth proportional to 306.87, 457.58 and 301.41 is: 449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.87 : 457.58 = 301.41 : x
  2. Step 2: Convert to fraction form
    306.87/457.58 = 301.41/x
  3. Step 3: Cross multiply
    306.87x = 457.58 × 301.41
  4. Step 4: Simplify right side
    306.87x = 137,917.68
  5. Step 5: Solve for x
    x = 137,917.68/306.87
  6. Step 6: Final answer
    x = 449.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.