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Finding the Fourth Proportional to 258.39, 385.63 and 226.26

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Solution

The fourth proportional to 258.39, 385.63 and 226.26 is: 337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.39 : 385.63 = 226.26 : x
  2. Step 2: Convert to fraction form
    258.39/385.63 = 226.26/x
  3. Step 3: Cross multiply
    258.39x = 385.63 × 226.26
  4. Step 4: Simplify right side
    258.39x = 87,252.08
  5. Step 5: Solve for x
    x = 87,252.08/258.39
  6. Step 6: Final answer
    x = 337.68

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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.