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Finding the Fourth Proportional to 541.96, 813.34 and 195.30

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Solution

The fourth proportional to 541.96, 813.34 and 195.30 is: 293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.96 : 813.34 = 195.30 : x
  2. Step 2: Convert to fraction form
    541.96/813.34 = 195.30/x
  3. Step 3: Cross multiply
    541.96x = 813.34 × 195.30
  4. Step 4: Simplify right side
    541.96x = 158,845.30
  5. Step 5: Solve for x
    x = 158,845.30/541.96
  6. Step 6: Final answer
    x = 293.09

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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.