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Finding the Fourth Proportional to 435.50, 654.46 and 219.23

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Solution

The fourth proportional to 435.50, 654.46 and 219.23 is: 329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.50 : 654.46 = 219.23 : x
  2. Step 2: Convert to fraction form
    435.50/654.46 = 219.23/x
  3. Step 3: Cross multiply
    435.50x = 654.46 × 219.23
  4. Step 4: Simplify right side
    435.50x = 143,477.27
  5. Step 5: Solve for x
    x = 143,477.27/435.50
  6. Step 6: Final answer
    x = 329.45

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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.