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Finding the Fourth Proportional to 362.16, 541.89 and 215.99

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Solution

The fourth proportional to 362.16, 541.89 and 215.99 is: 323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.16 : 541.89 = 215.99 : x
  2. Step 2: Convert to fraction form
    362.16/541.89 = 215.99/x
  3. Step 3: Cross multiply
    362.16x = 541.89 × 215.99
  4. Step 4: Simplify right side
    362.16x = 117,042.82
  5. Step 5: Solve for x
    x = 117,042.82/362.16
  6. Step 6: Final answer
    x = 323.18

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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.