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Finding the Fourth Proportional to 256.14, 385.94 and 211.49

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Solution

The fourth proportional to 256.14, 385.94 and 211.49 is: 318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.14 : 385.94 = 211.49 : x
  2. Step 2: Convert to fraction form
    256.14/385.94 = 211.49/x
  3. Step 3: Cross multiply
    256.14x = 385.94 × 211.49
  4. Step 4: Simplify right side
    256.14x = 81,622.45
  5. Step 5: Solve for x
    x = 81,622.45/256.14
  6. Step 6: Final answer
    x = 318.66

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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.