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Finding the Fourth Proportional to 262.43, 391.15 and 259.19

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Solution

The fourth proportional to 262.43, 391.15 and 259.19 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.43 : 391.15 = 259.19 : x
  2. Step 2: Convert to fraction form
    262.43/391.15 = 259.19/x
  3. Step 3: Cross multiply
    262.43x = 391.15 × 259.19
  4. Step 4: Simplify right side
    262.43x = 101,382.17
  5. Step 5: Solve for x
    x = 101,382.17/262.43
  6. Step 6: Final answer
    x = 386.32

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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.