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Finding the Fourth Proportional to 256.06, 350.33 and 255.05

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Solution

The fourth proportional to 256.06, 350.33 and 255.05 is: 348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.06 : 350.33 = 255.05 : x
  2. Step 2: Convert to fraction form
    256.06/350.33 = 255.05/x
  3. Step 3: Cross multiply
    256.06x = 350.33 × 255.05
  4. Step 4: Simplify right side
    256.06x = 89,349.95
  5. Step 5: Solve for x
    x = 89,349.95/256.06
  6. Step 6: Final answer
    x = 348.94

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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.