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Finding the Fourth Proportional to 256.81, 354.71 and 194.51

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Solution

The fourth proportional to 256.81, 354.71 and 194.51 is: 268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.81 : 354.71 = 194.51 : x
  2. Step 2: Convert to fraction form
    256.81/354.71 = 194.51/x
  3. Step 3: Cross multiply
    256.81x = 354.71 × 194.51
  4. Step 4: Simplify right side
    256.81x = 68,991.90
  5. Step 5: Solve for x
    x = 68,991.90/256.81
  6. Step 6: Final answer
    x = 268.65

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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.