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Finding the Fourth Proportional to 259.26, 387.74 and 230.57

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Solution

The fourth proportional to 259.26, 387.74 and 230.57 is: 344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.26 : 387.74 = 230.57 : x
  2. Step 2: Convert to fraction form
    259.26/387.74 = 230.57/x
  3. Step 3: Cross multiply
    259.26x = 387.74 × 230.57
  4. Step 4: Simplify right side
    259.26x = 89,400.01
  5. Step 5: Solve for x
    x = 89,400.01/259.26
  6. Step 6: Final answer
    x = 344.83

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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.