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Finding the Fourth Proportional to 628.25, 941.28 and 302.92

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Solution

The fourth proportional to 628.25, 941.28 and 302.92 is: 453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.25 : 941.28 = 302.92 : x
  2. Step 2: Convert to fraction form
    628.25/941.28 = 302.92/x
  3. Step 3: Cross multiply
    628.25x = 941.28 × 302.92
  4. Step 4: Simplify right side
    628.25x = 285,129.05
  5. Step 5: Solve for x
    x = 285,129.05/628.25
  6. Step 6: Final answer
    x = 453.85

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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.