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Finding the Fourth Proportional to 541.38, 812.21 and 194.79

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Solution

The fourth proportional to 541.38, 812.21 and 194.79 is: 292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.38 : 812.21 = 194.79 : x
  2. Step 2: Convert to fraction form
    541.38/812.21 = 194.79/x
  3. Step 3: Cross multiply
    541.38x = 812.21 × 194.79
  4. Step 4: Simplify right side
    541.38x = 158,205.35
  5. Step 5: Solve for x
    x = 158,205.35/541.38
  6. Step 6: Final answer
    x = 292.23

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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.