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Finding the Fourth Proportional to 362.45, 543.73 and 146.04

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Solution

The fourth proportional to 362.45, 543.73 and 146.04 is: 219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.45 : 543.73 = 146.04 : x
  2. Step 2: Convert to fraction form
    362.45/543.73 = 146.04/x
  3. Step 3: Cross multiply
    362.45x = 543.73 × 146.04
  4. Step 4: Simplify right side
    362.45x = 79,406.33
  5. Step 5: Solve for x
    x = 79,406.33/362.45
  6. Step 6: Final answer
    x = 219.09

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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.