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Finding the Fourth Proportional to 328.27, 452.33 and 305.69

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Solution

The fourth proportional to 328.27, 452.33 and 305.69 is: 421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.27 : 452.33 = 305.69 : x
  2. Step 2: Convert to fraction form
    328.27/452.33 = 305.69/x
  3. Step 3: Cross multiply
    328.27x = 452.33 × 305.69
  4. Step 4: Simplify right side
    328.27x = 138,274.38
  5. Step 5: Solve for x
    x = 138,274.38/328.27
  6. Step 6: Final answer
    x = 421.22

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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.