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Finding the Fourth Proportional to 357.04, 492.33 and 329.68

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Solution

The fourth proportional to 357.04, 492.33 and 329.68 is: 454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.04 : 492.33 = 329.68 : x
  2. Step 2: Convert to fraction form
    357.04/492.33 = 329.68/x
  3. Step 3: Cross multiply
    357.04x = 492.33 × 329.68
  4. Step 4: Simplify right side
    357.04x = 162,311.35
  5. Step 5: Solve for x
    x = 162,311.35/357.04
  6. Step 6: Final answer
    x = 454.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.