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Finding the Fourth Proportional to 541.08, 811.54 and 199

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Solution

The fourth proportional to 541.08, 811.54 and 199 is: 298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.08 : 811.54 = 199 : x
  2. Step 2: Convert to fraction form
    541.08/811.54 = 199/x
  3. Step 3: Cross multiply
    541.08x = 811.54 × 199
  4. Step 4: Simplify right side
    541.08x = 161,496.46
  5. Step 5: Solve for x
    x = 161,496.46/541.08
  6. Step 6: Final answer
    x = 298.47

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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.