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Finding the Fourth Proportional to 371.23, 557.18 and 188.75

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Solution

The fourth proportional to 371.23, 557.18 and 188.75 is: 283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.23 : 557.18 = 188.75 : x
  2. Step 2: Convert to fraction form
    371.23/557.18 = 188.75/x
  3. Step 3: Cross multiply
    371.23x = 557.18 × 188.75
  4. Step 4: Simplify right side
    371.23x = 105,167.73
  5. Step 5: Solve for x
    x = 105,167.73/371.23
  6. Step 6: Final answer
    x = 283.30

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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.