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Finding the Fourth Proportional to 263.21, 391.79 and 259.31

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Solution

The fourth proportional to 263.21, 391.79 and 259.31 is: 385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.21 : 391.79 = 259.31 : x
  2. Step 2: Convert to fraction form
    263.21/391.79 = 259.31/x
  3. Step 3: Cross multiply
    263.21x = 391.79 × 259.31
  4. Step 4: Simplify right side
    263.21x = 101,595.06
  5. Step 5: Solve for x
    x = 101,595.06/263.21
  6. Step 6: Final answer
    x = 385.98

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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.