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Finding the Fourth Proportional to 256.42, 382.96 and 205.14

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Solution

The fourth proportional to 256.42, 382.96 and 205.14 is: 306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.42 : 382.96 = 205.14 : x
  2. Step 2: Convert to fraction form
    256.42/382.96 = 205.14/x
  3. Step 3: Cross multiply
    256.42x = 382.96 × 205.14
  4. Step 4: Simplify right side
    256.42x = 78,559.39
  5. Step 5: Solve for x
    x = 78,559.39/256.42
  6. Step 6: Final answer
    x = 306.37

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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.