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Finding the Fourth Proportional to 351.85, 484.45 and 299.29

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Solution

The fourth proportional to 351.85, 484.45 and 299.29 is: 412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.85 : 484.45 = 299.29 : x
  2. Step 2: Convert to fraction form
    351.85/484.45 = 299.29/x
  3. Step 3: Cross multiply
    351.85x = 484.45 × 299.29
  4. Step 4: Simplify right side
    351.85x = 144,991.04
  5. Step 5: Solve for x
    x = 144,991.04/351.85
  6. Step 6: Final answer
    x = 412.08

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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.