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Finding the Fourth Proportional to 541.91, 813 and 212.87

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Solution

The fourth proportional to 541.91, 813 and 212.87 is: 319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.91 : 813 = 212.87 : x
  2. Step 2: Convert to fraction form
    541.91/813 = 212.87/x
  3. Step 3: Cross multiply
    541.91x = 813 × 212.87
  4. Step 4: Simplify right side
    541.91x = 173,063.31
  5. Step 5: Solve for x
    x = 173,063.31/541.91
  6. Step 6: Final answer
    x = 319.36

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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.