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Finding the Fourth Proportional to 200.46, 300.64 and 78.67

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Solution

The fourth proportional to 200.46, 300.64 and 78.67 is: 117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 300.64 = 78.67 : x
  2. Step 2: Convert to fraction form
    200.46/300.64 = 78.67/x
  3. Step 3: Cross multiply
    200.46x = 300.64 × 78.67
  4. Step 4: Simplify right side
    200.46x = 23,651.35
  5. Step 5: Solve for x
    x = 23,651.35/200.46
  6. Step 6: Final answer
    x = 117.99

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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.