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Finding the Fourth Proportional to 362.22, 541.99 and 216.05

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Solution

The fourth proportional to 362.22, 541.99 and 216.05 is: 323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.22 : 541.99 = 216.05 : x
  2. Step 2: Convert to fraction form
    362.22/541.99 = 216.05/x
  3. Step 3: Cross multiply
    362.22x = 541.99 × 216.05
  4. Step 4: Simplify right side
    362.22x = 117,095.86
  5. Step 5: Solve for x
    x = 117,095.86/362.22
  6. Step 6: Final answer
    x = 323.27

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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.