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Finding the Fourth Proportional to 273.67, 377.58 and 157.21

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Solution

The fourth proportional to 273.67, 377.58 and 157.21 is: 216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.67 : 377.58 = 157.21 : x
  2. Step 2: Convert to fraction form
    273.67/377.58 = 157.21/x
  3. Step 3: Cross multiply
    273.67x = 377.58 × 157.21
  4. Step 4: Simplify right side
    273.67x = 59,359.35
  5. Step 5: Solve for x
    x = 59,359.35/273.67
  6. Step 6: Final answer
    x = 216.90

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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.