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Finding the Fourth Proportional to 227.64, 314.31 and 162.24

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Solution

The fourth proportional to 227.64, 314.31 and 162.24 is: 224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.64 : 314.31 = 162.24 : x
  2. Step 2: Convert to fraction form
    227.64/314.31 = 162.24/x
  3. Step 3: Cross multiply
    227.64x = 314.31 × 162.24
  4. Step 4: Simplify right side
    227.64x = 50,993.65
  5. Step 5: Solve for x
    x = 50,993.65/227.64
  6. Step 6: Final answer
    x = 224.01

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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.