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Finding the Fourth Proportional to 333.54, 457.38 and 300.69

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Solution

The fourth proportional to 333.54, 457.38 and 300.69 is: 412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.54 : 457.38 = 300.69 : x
  2. Step 2: Convert to fraction form
    333.54/457.38 = 300.69/x
  3. Step 3: Cross multiply
    333.54x = 457.38 × 300.69
  4. Step 4: Simplify right side
    333.54x = 137,529.59
  5. Step 5: Solve for x
    x = 137,529.59/333.54
  6. Step 6: Final answer
    x = 412.33

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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.