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Finding the Fourth Proportional to 227.50, 342.83 and 189.84

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Solution

The fourth proportional to 227.50, 342.83 and 189.84 is: 286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.50 : 342.83 = 189.84 : x
  2. Step 2: Convert to fraction form
    227.50/342.83 = 189.84/x
  3. Step 3: Cross multiply
    227.50x = 342.83 × 189.84
  4. Step 4: Simplify right side
    227.50x = 65,080.66
  5. Step 5: Solve for x
    x = 65,080.66/227.50
  6. Step 6: Final answer
    x = 286.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.