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Finding the Fourth Proportional to 368.55, 505.89 and 326.18

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Solution

The fourth proportional to 368.55, 505.89 and 326.18 is: 447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.55 : 505.89 = 326.18 : x
  2. Step 2: Convert to fraction form
    368.55/505.89 = 326.18/x
  3. Step 3: Cross multiply
    368.55x = 505.89 × 326.18
  4. Step 4: Simplify right side
    368.55x = 165,009.57
  5. Step 5: Solve for x
    x = 165,009.57/368.55
  6. Step 6: Final answer
    x = 447.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.