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Finding the Fourth Proportional to 344.36, 513.82 and 283.88

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Solution

The fourth proportional to 344.36, 513.82 and 283.88 is: 423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.36 : 513.82 = 283.88 : x
  2. Step 2: Convert to fraction form
    344.36/513.82 = 283.88/x
  3. Step 3: Cross multiply
    344.36x = 513.82 × 283.88
  4. Step 4: Simplify right side
    344.36x = 145,863.22
  5. Step 5: Solve for x
    x = 145,863.22/344.36
  6. Step 6: Final answer
    x = 423.58

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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.