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Finding the Fourth Proportional to 352.26, 484.65 and 305.51

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Solution

The fourth proportional to 352.26, 484.65 and 305.51 is: 420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.26 : 484.65 = 305.51 : x
  2. Step 2: Convert to fraction form
    352.26/484.65 = 305.51/x
  3. Step 3: Cross multiply
    352.26x = 484.65 × 305.51
  4. Step 4: Simplify right side
    352.26x = 148,063.00
  5. Step 5: Solve for x
    x = 148,063.00/352.26
  6. Step 6: Final answer
    x = 420.32

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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.