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Finding the Fourth Proportional to 603.50, 905.46 and 218.78

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Solution

The fourth proportional to 603.50, 905.46 and 218.78 is: 328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.50 : 905.46 = 218.78 : x
  2. Step 2: Convert to fraction form
    603.50/905.46 = 218.78/x
  3. Step 3: Cross multiply
    603.50x = 905.46 × 218.78
  4. Step 4: Simplify right side
    603.50x = 198,096.54
  5. Step 5: Solve for x
    x = 198,096.54/603.50
  6. Step 6: Final answer
    x = 328.25

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1.5x scale

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.