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Finding the Fourth Proportional to 273.06, 376.80 and 155.02

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Solution

The fourth proportional to 273.06, 376.80 and 155.02 is: 213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.06 : 376.80 = 155.02 : x
  2. Step 2: Convert to fraction form
    273.06/376.80 = 155.02/x
  3. Step 3: Cross multiply
    273.06x = 376.80 × 155.02
  4. Step 4: Simplify right side
    273.06x = 58,411.54
  5. Step 5: Solve for x
    x = 58,411.54/273.06
  6. Step 6: Final answer
    x = 213.91

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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.