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Finding the Fourth Proportional to 541.25, 811.72 and 194.54

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Solution

The fourth proportional to 541.25, 811.72 and 194.54 is: 291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.25 : 811.72 = 194.54 : x
  2. Step 2: Convert to fraction form
    541.25/811.72 = 194.54/x
  3. Step 3: Cross multiply
    541.25x = 811.72 × 194.54
  4. Step 4: Simplify right side
    541.25x = 157,911.04
  5. Step 5: Solve for x
    x = 157,911.04/541.25
  6. Step 6: Final answer
    x = 291.76

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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.