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Finding the Fourth Proportional to 197.90, 273.50 and 162.88

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Solution

The fourth proportional to 197.90, 273.50 and 162.88 is: 225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.90 : 273.50 = 162.88 : x
  2. Step 2: Convert to fraction form
    197.90/273.50 = 162.88/x
  3. Step 3: Cross multiply
    197.90x = 273.50 × 162.88
  4. Step 4: Simplify right side
    197.90x = 44,547.68
  5. Step 5: Solve for x
    x = 44,547.68/197.90
  6. Step 6: Final answer
    x = 225.10

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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.