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Finding the Fourth Proportional to 258.87, 386.28 and 231.63

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Solution

The fourth proportional to 258.87, 386.28 and 231.63 is: 345.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.87 : 386.28 = 231.63 : x
  2. Step 2: Convert to fraction form
    258.87/386.28 = 231.63/x
  3. Step 3: Cross multiply
    258.87x = 386.28 × 231.63
  4. Step 4: Simplify right side
    258.87x = 89,474.04
  5. Step 5: Solve for x
    x = 89,474.04/258.87
  6. Step 6: Final answer
    x = 345.63

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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.