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Finding the Fourth Proportional to 362.11, 541.81 and 215.33

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Solution

The fourth proportional to 362.11, 541.81 and 215.33 is: 322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.11 : 541.81 = 215.33 : x
  2. Step 2: Convert to fraction form
    362.11/541.81 = 215.33/x
  3. Step 3: Cross multiply
    362.11x = 541.81 × 215.33
  4. Step 4: Simplify right side
    362.11x = 116,665.24
  5. Step 5: Solve for x
    x = 116,665.24/362.11
  6. Step 6: Final answer
    x = 322.18

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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.