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Finding the Fourth Proportional to 418.94, 628.79 and 301.92

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Solution

The fourth proportional to 418.94, 628.79 and 301.92 is: 453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.94 : 628.79 = 301.92 : x
  2. Step 2: Convert to fraction form
    418.94/628.79 = 301.92/x
  3. Step 3: Cross multiply
    418.94x = 628.79 × 301.92
  4. Step 4: Simplify right side
    418.94x = 189,842.77
  5. Step 5: Solve for x
    x = 189,842.77/418.94
  6. Step 6: Final answer
    x = 453.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.