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Finding the Fourth Proportional to 328.12, 452.59 and 249.14

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Solution

The fourth proportional to 328.12, 452.59 and 249.14 is: 343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.12 : 452.59 = 249.14 : x
  2. Step 2: Convert to fraction form
    328.12/452.59 = 249.14/x
  3. Step 3: Cross multiply
    328.12x = 452.59 × 249.14
  4. Step 4: Simplify right side
    328.12x = 112,758.78
  5. Step 5: Solve for x
    x = 112,758.78/328.12
  6. Step 6: Final answer
    x = 343.65

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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.