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Finding the Fourth Proportional to 273.94, 411 and 228.10

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Solution

The fourth proportional to 273.94, 411 and 228.10 is: 342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.94 : 411 = 228.10 : x
  2. Step 2: Convert to fraction form
    273.94/411 = 228.10/x
  3. Step 3: Cross multiply
    273.94x = 411 × 228.10
  4. Step 4: Simplify right side
    273.94x = 93,749.10
  5. Step 5: Solve for x
    x = 93,749.10/273.94
  6. Step 6: Final answer
    x = 342.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.