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Finding the Fourth Proportional to 228.29, 314.48 and 191.43

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Solution

The fourth proportional to 228.29, 314.48 and 191.43 is: 263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.29 : 314.48 = 191.43 : x
  2. Step 2: Convert to fraction form
    228.29/314.48 = 191.43/x
  3. Step 3: Cross multiply
    228.29x = 314.48 × 191.43
  4. Step 4: Simplify right side
    228.29x = 60,201.38
  5. Step 5: Solve for x
    x = 60,201.38/228.29
  6. Step 6: Final answer
    x = 263.71

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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.