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Finding the Fourth Proportional to 301.82, 450.83 and 258.27

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Solution

The fourth proportional to 301.82, 450.83 and 258.27 is: 385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.82 : 450.83 = 258.27 : x
  2. Step 2: Convert to fraction form
    301.82/450.83 = 258.27/x
  3. Step 3: Cross multiply
    301.82x = 450.83 × 258.27
  4. Step 4: Simplify right side
    301.82x = 116,434.57
  5. Step 5: Solve for x
    x = 116,434.57/301.82
  6. Step 6: Final answer
    x = 385.78

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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.