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Finding the Fourth Proportional to 271.87, 407.52 and 190.69

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Solution

The fourth proportional to 271.87, 407.52 and 190.69 is: 285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.87 : 407.52 = 190.69 : x
  2. Step 2: Convert to fraction form
    271.87/407.52 = 190.69/x
  3. Step 3: Cross multiply
    271.87x = 407.52 × 190.69
  4. Step 4: Simplify right side
    271.87x = 77,709.99
  5. Step 5: Solve for x
    x = 77,709.99/271.87
  6. Step 6: Final answer
    x = 285.84

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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.