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Finding the Fourth Proportional to 303.69, 454.50 and 188.21

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Solution

The fourth proportional to 303.69, 454.50 and 188.21 is: 281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.69 : 454.50 = 188.21 : x
  2. Step 2: Convert to fraction form
    303.69/454.50 = 188.21/x
  3. Step 3: Cross multiply
    303.69x = 454.50 × 188.21
  4. Step 4: Simplify right side
    303.69x = 85,541.45
  5. Step 5: Solve for x
    x = 85,541.45/303.69
  6. Step 6: Final answer
    x = 281.67

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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.