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Finding the Fourth Proportional to 228.78, 343.17 and 84.66

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Solution

The fourth proportional to 228.78, 343.17 and 84.66 is: 126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.78 : 343.17 = 84.66 : x
  2. Step 2: Convert to fraction form
    228.78/343.17 = 84.66/x
  3. Step 3: Cross multiply
    228.78x = 343.17 × 84.66
  4. Step 4: Simplify right side
    228.78x = 29,052.77
  5. Step 5: Solve for x
    x = 29,052.77/228.78
  6. Step 6: Final answer
    x = 126.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.