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Finding the Fourth Proportional to 228.76, 340.85 and 227.80

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Solution

The fourth proportional to 228.76, 340.85 and 227.80 is: 339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.76 : 340.85 = 227.80 : x
  2. Step 2: Convert to fraction form
    228.76/340.85 = 227.80/x
  3. Step 3: Cross multiply
    228.76x = 340.85 × 227.80
  4. Step 4: Simplify right side
    228.76x = 77,645.63
  5. Step 5: Solve for x
    x = 77,645.63/228.76
  6. Step 6: Final answer
    x = 339.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.