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Finding the Fourth Proportional to 256.12, 353.34 and 157.84

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Solution

The fourth proportional to 256.12, 353.34 and 157.84 is: 217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.12 : 353.34 = 157.84 : x
  2. Step 2: Convert to fraction form
    256.12/353.34 = 157.84/x
  3. Step 3: Cross multiply
    256.12x = 353.34 × 157.84
  4. Step 4: Simplify right side
    256.12x = 55,771.19
  5. Step 5: Solve for x
    x = 55,771.19/256.12
  6. Step 6: Final answer
    x = 217.75

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Why These Related Problems?

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