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Finding the Fourth Proportional to 227.70, 314.26 and 165.74

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Solution

The fourth proportional to 227.70, 314.26 and 165.74 is: 228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.70 : 314.26 = 165.74 : x
  2. Step 2: Convert to fraction form
    227.70/314.26 = 165.74/x
  3. Step 3: Cross multiply
    227.70x = 314.26 × 165.74
  4. Step 4: Simplify right side
    227.70x = 52,083.47
  5. Step 5: Solve for x
    x = 52,083.47/227.70
  6. Step 6: Final answer
    x = 228.74

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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.