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Finding the Fourth Proportional to 328.45, 452.33 and 299.24

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Solution

The fourth proportional to 328.45, 452.33 and 299.24 is: 412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.45 : 452.33 = 299.24 : x
  2. Step 2: Convert to fraction form
    328.45/452.33 = 299.24/x
  3. Step 3: Cross multiply
    328.45x = 452.33 × 299.24
  4. Step 4: Simplify right side
    328.45x = 135,354.86
  5. Step 5: Solve for x
    x = 135,354.86/328.45
  6. Step 6: Final answer
    x = 412.11

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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.