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Finding the Fourth Proportional to 301.26, 449.71 and 264.81

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Solution

The fourth proportional to 301.26, 449.71 and 264.81 is: 395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.26 : 449.71 = 264.81 : x
  2. Step 2: Convert to fraction form
    301.26/449.71 = 264.81/x
  3. Step 3: Cross multiply
    301.26x = 449.71 × 264.81
  4. Step 4: Simplify right side
    301.26x = 119,086.38
  5. Step 5: Solve for x
    x = 119,086.38/301.26
  6. Step 6: Final answer
    x = 395.29

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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.