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Finding the Fourth Proportional to 200.45, 300.81 and 174.53

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Solution

The fourth proportional to 200.45, 300.81 and 174.53 is: 261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.45 : 300.81 = 174.53 : x
  2. Step 2: Convert to fraction form
    200.45/300.81 = 174.53/x
  3. Step 3: Cross multiply
    200.45x = 300.81 × 174.53
  4. Step 4: Simplify right side
    200.45x = 52,500.37
  5. Step 5: Solve for x
    x = 52,500.37/200.45
  6. Step 6: Final answer
    x = 261.91

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