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Finding the Fourth Proportional to 541.37, 812.00 and 212.21

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Solution

The fourth proportional to 541.37, 812.00 and 212.21 is: 318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.37 : 812.00 = 212.21 : x
  2. Step 2: Convert to fraction form
    541.37/812.00 = 212.21/x
  3. Step 3: Cross multiply
    541.37x = 812.00 × 212.21
  4. Step 4: Simplify right side
    541.37x = 172,309.40
  5. Step 5: Solve for x
    x = 172,309.40/541.37
  6. Step 6: Final answer
    x = 318.29

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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.