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Finding the Fourth Proportional to 328.26, 452.62 and 223.27

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Solution

The fourth proportional to 328.26, 452.62 and 223.27 is: 307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.26 : 452.62 = 223.27 : x
  2. Step 2: Convert to fraction form
    328.26/452.62 = 223.27/x
  3. Step 3: Cross multiply
    328.26x = 452.62 × 223.27
  4. Step 4: Simplify right side
    328.26x = 101,055.61
  5. Step 5: Solve for x
    x = 101,055.61/328.26
  6. Step 6: Final answer
    x = 307.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.