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Finding the Fourth Proportional to 225.86, 310.93 and 195.19

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Solution

The fourth proportional to 225.86, 310.93 and 195.19 is: 268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.86 : 310.93 = 195.19 : x
  2. Step 2: Convert to fraction form
    225.86/310.93 = 195.19/x
  3. Step 3: Cross multiply
    225.86x = 310.93 × 195.19
  4. Step 4: Simplify right side
    225.86x = 60,689.16
  5. Step 5: Solve for x
    x = 60,689.16/225.86
  6. Step 6: Final answer
    x = 268.71

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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.