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Finding the Fourth Proportional to 351.74, 485.48 and 282.26

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Solution

The fourth proportional to 351.74, 485.48 and 282.26 is: 389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.74 : 485.48 = 282.26 : x
  2. Step 2: Convert to fraction form
    351.74/485.48 = 282.26/x
  3. Step 3: Cross multiply
    351.74x = 485.48 × 282.26
  4. Step 4: Simplify right side
    351.74x = 137,031.58
  5. Step 5: Solve for x
    x = 137,031.58/351.74
  6. Step 6: Final answer
    x = 389.58

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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.