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Finding the Fourth Proportional to 302.46, 414.27 and 284.73

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Solution

The fourth proportional to 302.46, 414.27 and 284.73 is: 389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.46 : 414.27 = 284.73 : x
  2. Step 2: Convert to fraction form
    302.46/414.27 = 284.73/x
  3. Step 3: Cross multiply
    302.46x = 414.27 × 284.73
  4. Step 4: Simplify right side
    302.46x = 117,951.60
  5. Step 5: Solve for x
    x = 117,951.60/302.46
  6. Step 6: Final answer
    x = 389.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.