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Finding the Fourth Proportional to 225.79, 311.67 and 159.49

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Solution

The fourth proportional to 225.79, 311.67 and 159.49 is: 220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.79 : 311.67 = 159.49 : x
  2. Step 2: Convert to fraction form
    225.79/311.67 = 159.49/x
  3. Step 3: Cross multiply
    225.79x = 311.67 × 159.49
  4. Step 4: Simplify right side
    225.79x = 49,708.25
  5. Step 5: Solve for x
    x = 49,708.25/225.79
  6. Step 6: Final answer
    x = 220.15

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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.