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Finding the Fourth Proportional to 258.96, 388.50 and 76.36

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Solution

The fourth proportional to 258.96, 388.50 and 76.36 is: 114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.96 : 388.50 = 76.36 : x
  2. Step 2: Convert to fraction form
    258.96/388.50 = 76.36/x
  3. Step 3: Cross multiply
    258.96x = 388.50 × 76.36
  4. Step 4: Simplify right side
    258.96x = 29,665.86
  5. Step 5: Solve for x
    x = 29,665.86/258.96
  6. Step 6: Final answer
    x = 114.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.