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Finding the Fourth Proportional to 273.23, 377.20 and 238.31

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Solution

The fourth proportional to 273.23, 377.20 and 238.31 is: 328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.23 : 377.20 = 238.31 : x
  2. Step 2: Convert to fraction form
    273.23/377.20 = 238.31/x
  3. Step 3: Cross multiply
    273.23x = 377.20 × 238.31
  4. Step 4: Simplify right side
    273.23x = 89,890.53
  5. Step 5: Solve for x
    x = 89,890.53/273.23
  6. Step 6: Final answer
    x = 328.99

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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.