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Finding the Fourth Proportional to 273.21, 407.96 and 217.74

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Solution

The fourth proportional to 273.21, 407.96 and 217.74 is: 325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.21 : 407.96 = 217.74 : x
  2. Step 2: Convert to fraction form
    273.21/407.96 = 217.74/x
  3. Step 3: Cross multiply
    273.21x = 407.96 × 217.74
  4. Step 4: Simplify right side
    273.21x = 88,829.21
  5. Step 5: Solve for x
    x = 88,829.21/273.21
  6. Step 6: Final answer
    x = 325.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.