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Finding the Fourth Proportional to 435.92, 654 and 204.80

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Solution

The fourth proportional to 435.92, 654 and 204.80 is: 307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.92 : 654 = 204.80 : x
  2. Step 2: Convert to fraction form
    435.92/654 = 204.80/x
  3. Step 3: Cross multiply
    435.92x = 654 × 204.80
  4. Step 4: Simplify right side
    435.92x = 133,939.20
  5. Step 5: Solve for x
    x = 133,939.20/435.92
  6. Step 6: Final answer
    x = 307.26

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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.