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Finding the Fourth Proportional to 329.80, 494.77 and 113.40

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Solution

The fourth proportional to 329.80, 494.77 and 113.40 is: 170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.80 : 494.77 = 113.40 : x
  2. Step 2: Convert to fraction form
    329.80/494.77 = 113.40/x
  3. Step 3: Cross multiply
    329.80x = 494.77 × 113.40
  4. Step 4: Simplify right side
    329.80x = 56,104.16
  5. Step 5: Solve for x
    x = 56,104.16/329.80
  6. Step 6: Final answer
    x = 170.12

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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.