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Finding the Fourth Proportional to 328.53, 452.21 and 304.23

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Solution

The fourth proportional to 328.53, 452.21 and 304.23 is: 418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.53 : 452.21 = 304.23 : x
  2. Step 2: Convert to fraction form
    328.53/452.21 = 304.23/x
  3. Step 3: Cross multiply
    328.53x = 452.21 × 304.23
  4. Step 4: Simplify right side
    328.53x = 137,574.33
  5. Step 5: Solve for x
    x = 137,574.33/328.53
  6. Step 6: Final answer
    x = 418.76

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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.