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Finding the Fourth Proportional to 344.69, 475.17 and 282.42

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Solution

The fourth proportional to 344.69, 475.17 and 282.42 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.69 : 475.17 = 282.42 : x
  2. Step 2: Convert to fraction form
    344.69/475.17 = 282.42/x
  3. Step 3: Cross multiply
    344.69x = 475.17 × 282.42
  4. Step 4: Simplify right side
    344.69x = 134,196.45
  5. Step 5: Solve for x
    x = 134,196.45/344.69
  6. Step 6: Final answer
    x = 389.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.