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Finding the Fourth Proportional to 256.70, 382.59 and 251.21

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Solution

The fourth proportional to 256.70, 382.59 and 251.21 is: 374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.70 : 382.59 = 251.21 : x
  2. Step 2: Convert to fraction form
    256.70/382.59 = 251.21/x
  3. Step 3: Cross multiply
    256.70x = 382.59 × 251.21
  4. Step 4: Simplify right side
    256.70x = 96,110.43
  5. Step 5: Solve for x
    x = 96,110.43/256.70
  6. Step 6: Final answer
    x = 374.41

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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.