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Finding the Fourth Proportional to 223.48, 333.40 and 213.16

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Solution

The fourth proportional to 223.48, 333.40 and 213.16 is: 318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.48 : 333.40 = 213.16 : x
  2. Step 2: Convert to fraction form
    223.48/333.40 = 213.16/x
  3. Step 3: Cross multiply
    223.48x = 333.40 × 213.16
  4. Step 4: Simplify right side
    223.48x = 71,067.54
  5. Step 5: Solve for x
    x = 71,067.54/223.48
  6. Step 6: Final answer
    x = 318.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.