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Finding the Fourth Proportional to 541.95, 813.05 and 298.41

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Solution

The fourth proportional to 541.95, 813.05 and 298.41 is: 447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.95 : 813.05 = 298.41 : x
  2. Step 2: Convert to fraction form
    541.95/813.05 = 298.41/x
  3. Step 3: Cross multiply
    541.95x = 813.05 × 298.41
  4. Step 4: Simplify right side
    541.95x = 242,622.25
  5. Step 5: Solve for x
    x = 242,622.25/541.95
  6. Step 6: Final answer
    x = 447.68

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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.