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Finding the Fourth Proportional to 300, 452.16 and 283.26

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Solution

The fourth proportional to 300, 452.16 and 283.26 is: 426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 452.16 = 283.26 : x
  2. Step 2: Convert to fraction form
    300/452.16 = 283.26/x
  3. Step 3: Cross multiply
    300x = 452.16 × 283.26
  4. Step 4: Simplify right side
    300x = 128,078.84
  5. Step 5: Solve for x
    x = 128,078.84/300
  6. Step 6: Final answer
    x = 426.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.