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Finding the Fourth Proportional to 362.63, 543.62 and 154.41

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Solution

The fourth proportional to 362.63, 543.62 and 154.41 is: 231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.63 : 543.62 = 154.41 : x
  2. Step 2: Convert to fraction form
    362.63/543.62 = 154.41/x
  3. Step 3: Cross multiply
    362.63x = 543.62 × 154.41
  4. Step 4: Simplify right side
    362.63x = 83,939.59
  5. Step 5: Solve for x
    x = 83,939.59/362.63
  6. Step 6: Final answer
    x = 231.48

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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.