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Finding the Fourth Proportional to 362.90, 543.86 and 189.20

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Solution

The fourth proportional to 362.90, 543.86 and 189.20 is: 283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.90 : 543.86 = 189.20 : x
  2. Step 2: Convert to fraction form
    362.90/543.86 = 189.20/x
  3. Step 3: Cross multiply
    362.90x = 543.86 × 189.20
  4. Step 4: Simplify right side
    362.90x = 102,898.73
  5. Step 5: Solve for x
    x = 102,898.73/362.90
  6. Step 6: Final answer
    x = 283.55

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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.