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Finding the Fourth Proportional to 541.52, 812.36 and 194.79

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Solution

The fourth proportional to 541.52, 812.36 and 194.79 is: 292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.52 : 812.36 = 194.79 : x
  2. Step 2: Convert to fraction form
    541.52/812.36 = 194.79/x
  3. Step 3: Cross multiply
    541.52x = 812.36 × 194.79
  4. Step 4: Simplify right side
    541.52x = 158,234.57
  5. Step 5: Solve for x
    x = 158,234.57/541.52
  6. Step 6: Final answer
    x = 292.20

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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.