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Finding the Fourth Proportional to 263.65, 395.12 and 236.06

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Solution

The fourth proportional to 263.65, 395.12 and 236.06 is: 353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.65 : 395.12 = 236.06 : x
  2. Step 2: Convert to fraction form
    263.65/395.12 = 236.06/x
  3. Step 3: Cross multiply
    263.65x = 395.12 × 236.06
  4. Step 4: Simplify right side
    263.65x = 93,272.03
  5. Step 5: Solve for x
    x = 93,272.03/263.65
  6. Step 6: Final answer
    x = 353.78

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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.