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Finding the Fourth Proportional to 256.97, 382.98 and 256.57

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Solution

The fourth proportional to 256.97, 382.98 and 256.57 is: 382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.97 : 382.98 = 256.57 : x
  2. Step 2: Convert to fraction form
    256.97/382.98 = 256.57/x
  3. Step 3: Cross multiply
    256.97x = 382.98 × 256.57
  4. Step 4: Simplify right side
    256.97x = 98,261.18
  5. Step 5: Solve for x
    x = 98,261.18/256.97
  6. Step 6: Final answer
    x = 382.38

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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.