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Finding the Fourth Proportional to 302.43, 450.44 and 298.83

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Solution

The fourth proportional to 302.43, 450.44 and 298.83 is: 445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.43 : 450.44 = 298.83 : x
  2. Step 2: Convert to fraction form
    302.43/450.44 = 298.83/x
  3. Step 3: Cross multiply
    302.43x = 450.44 × 298.83
  4. Step 4: Simplify right side
    302.43x = 134,605.73
  5. Step 5: Solve for x
    x = 134,605.73/302.43
  6. Step 6: Final answer
    x = 445.08

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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.