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Finding the Fourth Proportional to 256.42, 351.57 and 251.80

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Solution

The fourth proportional to 256.42, 351.57 and 251.80 is: 345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.42 : 351.57 = 251.80 : x
  2. Step 2: Convert to fraction form
    256.42/351.57 = 251.80/x
  3. Step 3: Cross multiply
    256.42x = 351.57 × 251.80
  4. Step 4: Simplify right side
    256.42x = 88,523.97
  5. Step 5: Solve for x
    x = 88,523.97/256.42
  6. Step 6: Final answer
    x = 345.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.