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Finding the Fourth Proportional to 198, 298.80 and 188.64

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Solution

The fourth proportional to 198, 298.80 and 188.64 is: 284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 298.80 = 188.64 : x
  2. Step 2: Convert to fraction form
    198/298.80 = 188.64/x
  3. Step 3: Cross multiply
    198x = 298.80 × 188.64
  4. Step 4: Simplify right side
    198x = 56,365.63
  5. Step 5: Solve for x
    x = 56,365.63/198
  6. Step 6: Final answer
    x = 284.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.