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Finding the Fourth Proportional to 256.95, 354.86 and 198.15

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Solution

The fourth proportional to 256.95, 354.86 and 198.15 is: 273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.95 : 354.86 = 198.15 : x
  2. Step 2: Convert to fraction form
    256.95/354.86 = 198.15/x
  3. Step 3: Cross multiply
    256.95x = 354.86 × 198.15
  4. Step 4: Simplify right side
    256.95x = 70,315.51
  5. Step 5: Solve for x
    x = 70,315.51/256.95
  6. Step 6: Final answer
    x = 273.65

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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.