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Finding the Fourth Proportional to 256.86, 349.95 and 251.22

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Solution

The fourth proportional to 256.86, 349.95 and 251.22 is: 342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.86 : 349.95 = 251.22 : x
  2. Step 2: Convert to fraction form
    256.86/349.95 = 251.22/x
  3. Step 3: Cross multiply
    256.86x = 349.95 × 251.22
  4. Step 4: Simplify right side
    256.86x = 87,914.44
  5. Step 5: Solve for x
    x = 87,914.44/256.86
  6. Step 6: Final answer
    x = 342.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.