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Finding the Fourth Proportional to 259.45, 388.77 and 201.83

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Solution

The fourth proportional to 259.45, 388.77 and 201.83 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.45 : 388.77 = 201.83 : x
  2. Step 2: Convert to fraction form
    259.45/388.77 = 201.83/x
  3. Step 3: Cross multiply
    259.45x = 388.77 × 201.83
  4. Step 4: Simplify right side
    259.45x = 78,462.75
  5. Step 5: Solve for x
    x = 78,462.75/259.45
  6. Step 6: Final answer
    x = 302.42

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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.