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Finding the Fourth Proportional to 273.59, 409.90 and 228.23

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Solution

The fourth proportional to 273.59, 409.90 and 228.23 is: 341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.59 : 409.90 = 228.23 : x
  2. Step 2: Convert to fraction form
    273.59/409.90 = 228.23/x
  3. Step 3: Cross multiply
    273.59x = 409.90 × 228.23
  4. Step 4: Simplify right side
    273.59x = 93,551.48
  5. Step 5: Solve for x
    x = 93,551.48/273.59
  6. Step 6: Final answer
    x = 341.94

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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.