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Finding the Fourth Proportional to 227.37, 313.72 and 134.08

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Solution

The fourth proportional to 227.37, 313.72 and 134.08 is: 185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.37 : 313.72 = 134.08 : x
  2. Step 2: Convert to fraction form
    227.37/313.72 = 134.08/x
  3. Step 3: Cross multiply
    227.37x = 313.72 × 134.08
  4. Step 4: Simplify right side
    227.37x = 42,063.58
  5. Step 5: Solve for x
    x = 42,063.58/227.37
  6. Step 6: Final answer
    x = 185.00

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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.