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Finding the Fourth Proportional to 371.69, 558.05 and 189.21

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Solution

The fourth proportional to 371.69, 558.05 and 189.21 is: 284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.69 : 558.05 = 189.21 : x
  2. Step 2: Convert to fraction form
    371.69/558.05 = 189.21/x
  3. Step 3: Cross multiply
    371.69x = 558.05 × 189.21
  4. Step 4: Simplify right side
    371.69x = 105,586.65
  5. Step 5: Solve for x
    x = 105,586.65/371.69
  6. Step 6: Final answer
    x = 284.07

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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.