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Finding the Fourth Proportional to 300, 446.82 and 284.58

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Solution

The fourth proportional to 300, 446.82 and 284.58 is: 423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 446.82 = 284.58 : x
  2. Step 2: Convert to fraction form
    300/446.82 = 284.58/x
  3. Step 3: Cross multiply
    300x = 446.82 × 284.58
  4. Step 4: Simplify right side
    300x = 127,156.04
  5. Step 5: Solve for x
    x = 127,156.04/300
  6. Step 6: Final answer
    x = 423.85

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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.