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Finding the Fourth Proportional to 253.23, 349.31 and 197.95

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Solution

The fourth proportional to 253.23, 349.31 and 197.95 is: 273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.23 : 349.31 = 197.95 : x
  2. Step 2: Convert to fraction form
    253.23/349.31 = 197.95/x
  3. Step 3: Cross multiply
    253.23x = 349.31 × 197.95
  4. Step 4: Simplify right side
    253.23x = 69,145.54
  5. Step 5: Solve for x
    x = 69,145.54/253.23
  6. Step 6: Final answer
    x = 273.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.