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Finding the Fourth Proportional to 362.75, 544.42 and 189.47

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Solution

The fourth proportional to 362.75, 544.42 and 189.47 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.75 : 544.42 = 189.47 : x
  2. Step 2: Convert to fraction form
    362.75/544.42 = 189.47/x
  3. Step 3: Cross multiply
    362.75x = 544.42 × 189.47
  4. Step 4: Simplify right side
    362.75x = 103,152.14
  5. Step 5: Solve for x
    x = 103,152.14/362.75
  6. Step 6: Final answer
    x = 284.36

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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.