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Finding the Fourth Proportional to 228.81, 343.14 and 91.78

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Solution

The fourth proportional to 228.81, 343.14 and 91.78 is: 137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.81 : 343.14 = 91.78 : x
  2. Step 2: Convert to fraction form
    228.81/343.14 = 91.78/x
  3. Step 3: Cross multiply
    228.81x = 343.14 × 91.78
  4. Step 4: Simplify right side
    228.81x = 31,493.39
  5. Step 5: Solve for x
    x = 31,493.39/228.81
  6. Step 6: Final answer
    x = 137.64

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Why These Related Problems?

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