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Finding the Fourth Proportional to 268.56, 370.65 and 163.65

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Solution

The fourth proportional to 268.56, 370.65 and 163.65 is: 225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.56 : 370.65 = 163.65 : x
  2. Step 2: Convert to fraction form
    268.56/370.65 = 163.65/x
  3. Step 3: Cross multiply
    268.56x = 370.65 × 163.65
  4. Step 4: Simplify right side
    268.56x = 60,656.87
  5. Step 5: Solve for x
    x = 60,656.87/268.56
  6. Step 6: Final answer
    x = 225.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.