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Finding the Fourth Proportional to 197.87, 296.48 and 152.06

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Solution

The fourth proportional to 197.87, 296.48 and 152.06 is: 227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.87 : 296.48 = 152.06 : x
  2. Step 2: Convert to fraction form
    197.87/296.48 = 152.06/x
  3. Step 3: Cross multiply
    197.87x = 296.48 × 152.06
  4. Step 4: Simplify right side
    197.87x = 45,080.51
  5. Step 5: Solve for x
    x = 45,080.51/197.87
  6. Step 6: Final answer
    x = 227.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.