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Finding the Fourth Proportional to 256.95, 383.30 and 228.41

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Solution

The fourth proportional to 256.95, 383.30 and 228.41 is: 340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.95 : 383.30 = 228.41 : x
  2. Step 2: Convert to fraction form
    256.95/383.30 = 228.41/x
  3. Step 3: Cross multiply
    256.95x = 383.30 × 228.41
  4. Step 4: Simplify right side
    256.95x = 87,546.49
  5. Step 5: Solve for x
    x = 87,546.49/256.95
  6. Step 6: Final answer
    x = 340.71

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Why These Related Problems?

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