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Finding the Fourth Proportional to 303.60, 418.01 and 271.65

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Solution

The fourth proportional to 303.60, 418.01 and 271.65 is: 374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.60 : 418.01 = 271.65 : x
  2. Step 2: Convert to fraction form
    303.60/418.01 = 271.65/x
  3. Step 3: Cross multiply
    303.60x = 418.01 × 271.65
  4. Step 4: Simplify right side
    303.60x = 113,554.15
  5. Step 5: Solve for x
    x = 113,554.15/303.60
  6. Step 6: Final answer
    x = 374.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.