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Finding the Fourth Proportional to 256.41, 382.74 and 220.57

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Solution

The fourth proportional to 256.41, 382.74 and 220.57 is: 329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.41 : 382.74 = 220.57 : x
  2. Step 2: Convert to fraction form
    256.41/382.74 = 220.57/x
  3. Step 3: Cross multiply
    256.41x = 382.74 × 220.57
  4. Step 4: Simplify right side
    256.41x = 84,420.96
  5. Step 5: Solve for x
    x = 84,420.96/256.41
  6. Step 6: Final answer
    x = 329.24

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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.