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Finding the Fourth Proportional to 228.31, 314.75 and 191.41

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Solution

The fourth proportional to 228.31, 314.75 and 191.41 is: 263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.31 : 314.75 = 191.41 : x
  2. Step 2: Convert to fraction form
    228.31/314.75 = 191.41/x
  3. Step 3: Cross multiply
    228.31x = 314.75 × 191.41
  4. Step 4: Simplify right side
    228.31x = 60,245.99
  5. Step 5: Solve for x
    x = 60,245.99/228.31
  6. Step 6: Final answer
    x = 263.88

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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.