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Finding the Fourth Proportional to 258.86, 388.38 and 150.86

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Solution

The fourth proportional to 258.86, 388.38 and 150.86 is: 226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.86 : 388.38 = 150.86 : x
  2. Step 2: Convert to fraction form
    258.86/388.38 = 150.86/x
  3. Step 3: Cross multiply
    258.86x = 388.38 × 150.86
  4. Step 4: Simplify right side
    258.86x = 58,591.01
  5. Step 5: Solve for x
    x = 58,591.01/258.86
  6. Step 6: Final answer
    x = 226.34

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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.