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Finding the Fourth Proportional to 257.94, 353.78 and 228.78

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Solution

The fourth proportional to 257.94, 353.78 and 228.78 is: 313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.94 : 353.78 = 228.78 : x
  2. Step 2: Convert to fraction form
    257.94/353.78 = 228.78/x
  3. Step 3: Cross multiply
    257.94x = 353.78 × 228.78
  4. Step 4: Simplify right side
    257.94x = 80,936.64
  5. Step 5: Solve for x
    x = 80,936.64/257.94
  6. Step 6: Final answer
    x = 313.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.