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Finding the Fourth Proportional to 419.28, 626.34 and 302.73

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Solution

The fourth proportional to 419.28, 626.34 and 302.73 is: 452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.28 : 626.34 = 302.73 : x
  2. Step 2: Convert to fraction form
    419.28/626.34 = 302.73/x
  3. Step 3: Cross multiply
    419.28x = 626.34 × 302.73
  4. Step 4: Simplify right side
    419.28x = 189,611.91
  5. Step 5: Solve for x
    x = 189,611.91/419.28
  6. Step 6: Final answer
    x = 452.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.