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Finding the Fourth Proportional to 302.37, 450.90 and 299.63

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Solution

The fourth proportional to 302.37, 450.90 and 299.63 is: 446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.37 : 450.90 = 299.63 : x
  2. Step 2: Convert to fraction form
    302.37/450.90 = 299.63/x
  3. Step 3: Cross multiply
    302.37x = 450.90 × 299.63
  4. Step 4: Simplify right side
    302.37x = 135,103.17
  5. Step 5: Solve for x
    x = 135,103.17/302.37
  6. Step 6: Final answer
    x = 446.81

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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.