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Finding the Fourth Proportional to 326.36, 488.77 and 274.05

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Solution

The fourth proportional to 326.36, 488.77 and 274.05 is: 410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.36 : 488.77 = 274.05 : x
  2. Step 2: Convert to fraction form
    326.36/488.77 = 274.05/x
  3. Step 3: Cross multiply
    326.36x = 488.77 × 274.05
  4. Step 4: Simplify right side
    326.36x = 133,946.73
  5. Step 5: Solve for x
    x = 133,946.73/326.36
  6. Step 6: Final answer
    x = 410.42

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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.