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Finding the Fourth Proportional to 227.98, 342.02 and 91.09

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Solution

The fourth proportional to 227.98, 342.02 and 91.09 is: 136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.98 : 342.02 = 91.09 : x
  2. Step 2: Convert to fraction form
    227.98/342.02 = 91.09/x
  3. Step 3: Cross multiply
    227.98x = 342.02 × 91.09
  4. Step 4: Simplify right side
    227.98x = 31,155.26
  5. Step 5: Solve for x
    x = 31,155.26/227.98
  6. Step 6: Final answer
    x = 136.66

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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.