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Finding the Fourth Proportional to 263.19, 395.30 and 165.86

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Solution

The fourth proportional to 263.19, 395.30 and 165.86 is: 249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.19 : 395.30 = 165.86 : x
  2. Step 2: Convert to fraction form
    263.19/395.30 = 165.86/x
  3. Step 3: Cross multiply
    263.19x = 395.30 × 165.86
  4. Step 4: Simplify right side
    263.19x = 65,561.65
  5. Step 5: Solve for x
    x = 65,561.65/263.19
  6. Step 6: Final answer
    x = 249.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.