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Finding the Fourth Proportional to 347.78, 480.21 and 282.26

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Solution

The fourth proportional to 347.78, 480.21 and 282.26 is: 389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.78 : 480.21 = 282.26 : x
  2. Step 2: Convert to fraction form
    347.78/480.21 = 282.26/x
  3. Step 3: Cross multiply
    347.78x = 480.21 × 282.26
  4. Step 4: Simplify right side
    347.78x = 135,544.07
  5. Step 5: Solve for x
    x = 135,544.07/347.78
  6. Step 6: Final answer
    x = 389.74

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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.