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Finding the Fourth Proportional to 256.87, 354.27 and 190.79

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Solution

The fourth proportional to 256.87, 354.27 and 190.79 is: 263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.87 : 354.27 = 190.79 : x
  2. Step 2: Convert to fraction form
    256.87/354.27 = 190.79/x
  3. Step 3: Cross multiply
    256.87x = 354.27 × 190.79
  4. Step 4: Simplify right side
    256.87x = 67,591.45
  5. Step 5: Solve for x
    x = 67,591.45/256.87
  6. Step 6: Final answer
    x = 263.13

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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.