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Finding the Fourth Proportional to 301.26, 414.81 and 238.89

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Solution

The fourth proportional to 301.26, 414.81 and 238.89 is: 328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.26 : 414.81 = 238.89 : x
  2. Step 2: Convert to fraction form
    301.26/414.81 = 238.89/x
  3. Step 3: Cross multiply
    301.26x = 414.81 × 238.89
  4. Step 4: Simplify right side
    301.26x = 99,093.96
  5. Step 5: Solve for x
    x = 99,093.96/301.26
  6. Step 6: Final answer
    x = 328.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.