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Finding the Fourth Proportional to 541.81, 813.53 and 310.96

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Solution

The fourth proportional to 541.81, 813.53 and 310.96 is: 466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.81 : 813.53 = 310.96 : x
  2. Step 2: Convert to fraction form
    541.81/813.53 = 310.96/x
  3. Step 3: Cross multiply
    541.81x = 813.53 × 310.96
  4. Step 4: Simplify right side
    541.81x = 252,975.29
  5. Step 5: Solve for x
    x = 252,975.29/541.81
  6. Step 6: Final answer
    x = 466.91

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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.