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Finding the Fourth Proportional to 263.75, 365.53 and 259.70

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Solution

The fourth proportional to 263.75, 365.53 and 259.70 is: 359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.75 : 365.53 = 259.70 : x
  2. Step 2: Convert to fraction form
    263.75/365.53 = 259.70/x
  3. Step 3: Cross multiply
    263.75x = 365.53 × 259.70
  4. Step 4: Simplify right side
    263.75x = 94,928.14
  5. Step 5: Solve for x
    x = 94,928.14/263.75
  6. Step 6: Final answer
    x = 359.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.