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Finding the Fourth Proportional to 301.02, 449.75 and 238.92

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Solution

The fourth proportional to 301.02, 449.75 and 238.92 is: 356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.02 : 449.75 = 238.92 : x
  2. Step 2: Convert to fraction form
    301.02/449.75 = 238.92/x
  3. Step 3: Cross multiply
    301.02x = 449.75 × 238.92
  4. Step 4: Simplify right side
    301.02x = 107,453.08
  5. Step 5: Solve for x
    x = 107,453.08/301.02
  6. Step 6: Final answer
    x = 356.96

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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.