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Finding the Fourth Proportional to 535.65, 802.11 and 329.60

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Solution

The fourth proportional to 535.65, 802.11 and 329.60 is: 493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.65 : 802.11 = 329.60 : x
  2. Step 2: Convert to fraction form
    535.65/802.11 = 329.60/x
  3. Step 3: Cross multiply
    535.65x = 802.11 × 329.60
  4. Step 4: Simplify right side
    535.65x = 264,375.46
  5. Step 5: Solve for x
    x = 264,375.46/535.65
  6. Step 6: Final answer
    x = 493.56

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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.