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Finding the Fourth Proportional to 256.38, 386.75 and 255.84

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Solution

The fourth proportional to 256.38, 386.75 and 255.84 is: 385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.38 : 386.75 = 255.84 : x
  2. Step 2: Convert to fraction form
    256.38/386.75 = 255.84/x
  3. Step 3: Cross multiply
    256.38x = 386.75 × 255.84
  4. Step 4: Simplify right side
    256.38x = 98,944.84
  5. Step 5: Solve for x
    x = 98,944.84/256.38
  6. Step 6: Final answer
    x = 385.93

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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.