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Finding the Fourth Proportional to 312.06, 465.37 and 273.72

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Solution

The fourth proportional to 312.06, 465.37 and 273.72 is: 408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.06 : 465.37 = 273.72 : x
  2. Step 2: Convert to fraction form
    312.06/465.37 = 273.72/x
  3. Step 3: Cross multiply
    312.06x = 465.37 × 273.72
  4. Step 4: Simplify right side
    312.06x = 127,381.08
  5. Step 5: Solve for x
    x = 127,381.08/312.06
  6. Step 6: Final answer
    x = 408.19

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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.