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Finding the Fourth Proportional to 302.30, 450.80 and 299.57

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Solution

The fourth proportional to 302.30, 450.80 and 299.57 is: 446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.30 : 450.80 = 299.57 : x
  2. Step 2: Convert to fraction form
    302.30/450.80 = 299.57/x
  3. Step 3: Cross multiply
    302.30x = 450.80 × 299.57
  4. Step 4: Simplify right side
    302.30x = 135,043.53
  5. Step 5: Solve for x
    x = 135,043.53/302.30
  6. Step 6: Final answer
    x = 446.72

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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.