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Finding the Fourth Proportional to 344.33, 518.87 and 284.80

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Solution

The fourth proportional to 344.33, 518.87 and 284.80 is: 429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.33 : 518.87 = 284.80 : x
  2. Step 2: Convert to fraction form
    344.33/518.87 = 284.80/x
  3. Step 3: Cross multiply
    344.33x = 518.87 × 284.80
  4. Step 4: Simplify right side
    344.33x = 147,772.75
  5. Step 5: Solve for x
    x = 147,772.75/344.33
  6. Step 6: Final answer
    x = 429.16

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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.