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Finding the Fourth Proportional to 254.46, 383.07 and 228

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Solution

The fourth proportional to 254.46, 383.07 and 228 is: 343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.46 : 383.07 = 228 : x
  2. Step 2: Convert to fraction form
    254.46/383.07 = 228/x
  3. Step 3: Cross multiply
    254.46x = 383.07 × 228
  4. Step 4: Simplify right side
    254.46x = 87,339.96
  5. Step 5: Solve for x
    x = 87,339.96/254.46
  6. Step 6: Final answer
    x = 343.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.