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Finding the Fourth Proportional to 197.80, 296.32 and 152.08

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Solution

The fourth proportional to 197.80, 296.32 and 152.08 is: 227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.80 : 296.32 = 152.08 : x
  2. Step 2: Convert to fraction form
    197.80/296.32 = 152.08/x
  3. Step 3: Cross multiply
    197.80x = 296.32 × 152.08
  4. Step 4: Simplify right side
    197.80x = 45,064.35
  5. Step 5: Solve for x
    x = 45,064.35/197.80
  6. Step 6: Final answer
    x = 227.83

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Why These Related Problems?

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