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Finding the Fourth Proportional to 263.76, 359.16 and 259.96

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Solution

The fourth proportional to 263.76, 359.16 and 259.96 is: 353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.76 : 359.16 = 259.96 : x
  2. Step 2: Convert to fraction form
    263.76/359.16 = 259.96/x
  3. Step 3: Cross multiply
    263.76x = 359.16 × 259.96
  4. Step 4: Simplify right side
    263.76x = 93,367.23
  5. Step 5: Solve for x
    x = 93,367.23/263.76
  6. Step 6: Final answer
    x = 353.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.