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Finding the Fourth Proportional to 371.06, 556.31 and 188.59

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Solution

The fourth proportional to 371.06, 556.31 and 188.59 is: 282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.06 : 556.31 = 188.59 : x
  2. Step 2: Convert to fraction form
    371.06/556.31 = 188.59/x
  3. Step 3: Cross multiply
    371.06x = 556.31 × 188.59
  4. Step 4: Simplify right side
    371.06x = 104,913.58
  5. Step 5: Solve for x
    x = 104,913.58/371.06
  6. Step 6: Final answer
    x = 282.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.