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Finding the Fourth Proportional to 300.87, 448.70 and 271.71

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Solution

The fourth proportional to 300.87, 448.70 and 271.71 is: 405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.87 : 448.70 = 271.71 : x
  2. Step 2: Convert to fraction form
    300.87/448.70 = 271.71/x
  3. Step 3: Cross multiply
    300.87x = 448.70 × 271.71
  4. Step 4: Simplify right side
    300.87x = 121,914.92
  5. Step 5: Solve for x
    x = 121,914.92/300.87
  6. Step 6: Final answer
    x = 405.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.