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Finding the Fourth Proportional to 256.50, 353.94 and 144.48

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Solution

The fourth proportional to 256.50, 353.94 and 144.48 is: 199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.50 : 353.94 = 144.48 : x
  2. Step 2: Convert to fraction form
    256.50/353.94 = 144.48/x
  3. Step 3: Cross multiply
    256.50x = 353.94 × 144.48
  4. Step 4: Simplify right side
    256.50x = 51,137.25
  5. Step 5: Solve for x
    x = 51,137.25/256.50
  6. Step 6: Final answer
    x = 199.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.