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Finding the Fourth Proportional to 273.70, 407.46 and 272.08

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Solution

The fourth proportional to 273.70, 407.46 and 272.08 is: 405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.70 : 407.46 = 272.08 : x
  2. Step 2: Convert to fraction form
    273.70/407.46 = 272.08/x
  3. Step 3: Cross multiply
    273.70x = 407.46 × 272.08
  4. Step 4: Simplify right side
    273.70x = 110,861.72
  5. Step 5: Solve for x
    x = 110,861.72/273.70
  6. Step 6: Final answer
    x = 405.05

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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.