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Finding the Fourth Proportional to 256.79, 353.48 and 194.51

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Solution

The fourth proportional to 256.79, 353.48 and 194.51 is: 267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.79 : 353.48 = 194.51 : x
  2. Step 2: Convert to fraction form
    256.79/353.48 = 194.51/x
  3. Step 3: Cross multiply
    256.79x = 353.48 × 194.51
  4. Step 4: Simplify right side
    256.79x = 68,752.65
  5. Step 5: Solve for x
    x = 68,752.65/256.79
  6. Step 6: Final answer
    x = 267.74

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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.