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Finding the Fourth Proportional to 259.51, 389.16 and 113.25

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Solution

The fourth proportional to 259.51, 389.16 and 113.25 is: 169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.51 : 389.16 = 113.25 : x
  2. Step 2: Convert to fraction form
    259.51/389.16 = 113.25/x
  3. Step 3: Cross multiply
    259.51x = 389.16 × 113.25
  4. Step 4: Simplify right side
    259.51x = 44,072.37
  5. Step 5: Solve for x
    x = 44,072.37/259.51
  6. Step 6: Final answer
    x = 169.83

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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.