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Finding the Fourth Proportional to 301.32, 449.39 and 295.23

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Solution

The fourth proportional to 301.32, 449.39 and 295.23 is: 440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.32 : 449.39 = 295.23 : x
  2. Step 2: Convert to fraction form
    301.32/449.39 = 295.23/x
  3. Step 3: Cross multiply
    301.32x = 449.39 × 295.23
  4. Step 4: Simplify right side
    301.32x = 132,674.15
  5. Step 5: Solve for x
    x = 132,674.15/301.32
  6. Step 6: Final answer
    x = 440.31

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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.