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Finding the Fourth Proportional to 263.08, 391.61 and 259.19

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Solution

The fourth proportional to 263.08, 391.61 and 259.19 is: 385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.08 : 391.61 = 259.19 : x
  2. Step 2: Convert to fraction form
    263.08/391.61 = 259.19/x
  3. Step 3: Cross multiply
    263.08x = 391.61 × 259.19
  4. Step 4: Simplify right side
    263.08x = 101,500.09
  5. Step 5: Solve for x
    x = 101,500.09/263.08
  6. Step 6: Final answer
    x = 385.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.