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Finding the Fourth Proportional to 328.65, 453.08 and 223.58

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Solution

The fourth proportional to 328.65, 453.08 and 223.58 is: 308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.65 : 453.08 = 223.58 : x
  2. Step 2: Convert to fraction form
    328.65/453.08 = 223.58/x
  3. Step 3: Cross multiply
    328.65x = 453.08 × 223.58
  4. Step 4: Simplify right side
    328.65x = 101,299.05
  5. Step 5: Solve for x
    x = 101,299.05/328.65
  6. Step 6: Final answer
    x = 308.23

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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.