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Finding the Fourth Proportional to 273.25, 377.09 and 156.81

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Solution

The fourth proportional to 273.25, 377.09 and 156.81 is: 216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.25 : 377.09 = 156.81 : x
  2. Step 2: Convert to fraction form
    273.25/377.09 = 156.81/x
  3. Step 3: Cross multiply
    273.25x = 377.09 × 156.81
  4. Step 4: Simplify right side
    273.25x = 59,131.48
  5. Step 5: Solve for x
    x = 59,131.48/273.25
  6. Step 6: Final answer
    x = 216.40

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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.