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Finding the Fourth Proportional to 256.70, 382.82 and 218.42

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Solution

The fourth proportional to 256.70, 382.82 and 218.42 is: 325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.70 : 382.82 = 218.42 : x
  2. Step 2: Convert to fraction form
    256.70/382.82 = 218.42/x
  3. Step 3: Cross multiply
    256.70x = 382.82 × 218.42
  4. Step 4: Simplify right side
    256.70x = 83,615.54
  5. Step 5: Solve for x
    x = 83,615.54/256.70
  6. Step 6: Final answer
    x = 325.74

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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.