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Finding the Fourth Proportional to 259.61, 389.12 and 131.09

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Solution

The fourth proportional to 259.61, 389.12 and 131.09 is: 196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.61 : 389.12 = 131.09 : x
  2. Step 2: Convert to fraction form
    259.61/389.12 = 131.09/x
  3. Step 3: Cross multiply
    259.61x = 389.12 × 131.09
  4. Step 4: Simplify right side
    259.61x = 51,007.14
  5. Step 5: Solve for x
    x = 51,007.14/259.61
  6. Step 6: Final answer
    x = 196.48

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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.