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Finding the Fourth Proportional to 256.71, 353.84 and 191.19

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Solution

The fourth proportional to 256.71, 353.84 and 191.19 is: 263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.71 : 353.84 = 191.19 : x
  2. Step 2: Convert to fraction form
    256.71/353.84 = 191.19/x
  3. Step 3: Cross multiply
    256.71x = 353.84 × 191.19
  4. Step 4: Simplify right side
    256.71x = 67,649.71
  5. Step 5: Solve for x
    x = 67,649.71/256.71
  6. Step 6: Final answer
    x = 263.53

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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.