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Finding the Fourth Proportional to 353.80, 529.98 and 329.80

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Solution

The fourth proportional to 353.80, 529.98 and 329.80 is: 494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.80 : 529.98 = 329.80 : x
  2. Step 2: Convert to fraction form
    353.80/529.98 = 329.80/x
  3. Step 3: Cross multiply
    353.80x = 529.98 × 329.80
  4. Step 4: Simplify right side
    353.80x = 174,787.40
  5. Step 5: Solve for x
    x = 174,787.40/353.80
  6. Step 6: Final answer
    x = 494.03

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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.