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Finding the Fourth Proportional to 256.01, 353.34 and 157.80

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Solution

The fourth proportional to 256.01, 353.34 and 157.80 is: 217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.01 : 353.34 = 157.80 : x
  2. Step 2: Convert to fraction form
    256.01/353.34 = 157.80/x
  3. Step 3: Cross multiply
    256.01x = 353.34 × 157.80
  4. Step 4: Simplify right side
    256.01x = 55,757.05
  5. Step 5: Solve for x
    x = 55,757.05/256.01
  6. Step 6: Final answer
    x = 217.80

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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.