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Finding the Fourth Proportional to 227.08, 313.02 and 190.36

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Solution

The fourth proportional to 227.08, 313.02 and 190.36 is: 262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.08 : 313.02 = 190.36 : x
  2. Step 2: Convert to fraction form
    227.08/313.02 = 190.36/x
  3. Step 3: Cross multiply
    227.08x = 313.02 × 190.36
  4. Step 4: Simplify right side
    227.08x = 59,586.49
  5. Step 5: Solve for x
    x = 59,586.49/227.08
  6. Step 6: Final answer
    x = 262.40

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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.