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Finding the Fourth Proportional to 200.98, 300.95 and 178.08

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Solution

The fourth proportional to 200.98, 300.95 and 178.08 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.98 : 300.95 = 178.08 : x
  2. Step 2: Convert to fraction form
    200.98/300.95 = 178.08/x
  3. Step 3: Cross multiply
    200.98x = 300.95 × 178.08
  4. Step 4: Simplify right side
    200.98x = 53,594.75
  5. Step 5: Solve for x
    x = 53,594.75/200.98
  6. Step 6: Final answer
    x = 266.67

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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.