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Finding the Fourth Proportional to 273.26, 376.96 and 156.75

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Solution

The fourth proportional to 273.26, 376.96 and 156.75 is: 216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.26 : 376.96 = 156.75 : x
  2. Step 2: Convert to fraction form
    273.26/376.96 = 156.75/x
  3. Step 3: Cross multiply
    273.26x = 376.96 × 156.75
  4. Step 4: Simplify right side
    273.26x = 59,088.48
  5. Step 5: Solve for x
    x = 59,088.48/273.26
  6. Step 6: Final answer
    x = 216.24

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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.