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Finding the Fourth Proportional to 353.80, 484.59 and 333.86

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Solution

The fourth proportional to 353.80, 484.59 and 333.86 is: 457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.80 : 484.59 = 333.86 : x
  2. Step 2: Convert to fraction form
    353.80/484.59 = 333.86/x
  3. Step 3: Cross multiply
    353.80x = 484.59 × 333.86
  4. Step 4: Simplify right side
    353.80x = 161,785.22
  5. Step 5: Solve for x
    x = 161,785.22/353.80
  6. Step 6: Final answer
    x = 457.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.