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Finding the Fourth Proportional to 227.63, 314.02 and 162.17

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Solution

The fourth proportional to 227.63, 314.02 and 162.17 is: 223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.63 : 314.02 = 162.17 : x
  2. Step 2: Convert to fraction form
    227.63/314.02 = 162.17/x
  3. Step 3: Cross multiply
    227.63x = 314.02 × 162.17
  4. Step 4: Simplify right side
    227.63x = 50,924.62
  5. Step 5: Solve for x
    x = 50,924.62/227.63
  6. Step 6: Final answer
    x = 223.72

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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.