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Finding the Fourth Proportional to 197.31, 272.84 and 169.95

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Solution

The fourth proportional to 197.31, 272.84 and 169.95 is: 235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.31 : 272.84 = 169.95 : x
  2. Step 2: Convert to fraction form
    197.31/272.84 = 169.95/x
  3. Step 3: Cross multiply
    197.31x = 272.84 × 169.95
  4. Step 4: Simplify right side
    197.31x = 46,368.31
  5. Step 5: Solve for x
    x = 46,368.31/197.31
  6. Step 6: Final answer
    x = 235.00

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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.