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Finding the Fourth Proportional to 256.00, 353.12 and 194.07

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Solution

The fourth proportional to 256.00, 353.12 and 194.07 is: 267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.00 : 353.12 = 194.07 : x
  2. Step 2: Convert to fraction form
    256.00/353.12 = 194.07/x
  3. Step 3: Cross multiply
    256.00x = 353.12 × 194.07
  4. Step 4: Simplify right side
    256.00x = 68,528.43
  5. Step 5: Solve for x
    x = 68,528.43/256.00
  6. Step 6: Final answer
    x = 267.69

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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.