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Finding the Fourth Proportional to 329.35, 492.96 and 288.35

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Solution

The fourth proportional to 329.35, 492.96 and 288.35 is: 431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.35 : 492.96 = 288.35 : x
  2. Step 2: Convert to fraction form
    329.35/492.96 = 288.35/x
  3. Step 3: Cross multiply
    329.35x = 492.96 × 288.35
  4. Step 4: Simplify right side
    329.35x = 142,145.02
  5. Step 5: Solve for x
    x = 142,145.02/329.35
  6. Step 6: Final answer
    x = 431.59

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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.