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Finding the Fourth Proportional to 329.58, 498.10 and 323.91

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Solution

The fourth proportional to 329.58, 498.10 and 323.91 is: 489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.58 : 498.10 = 323.91 : x
  2. Step 2: Convert to fraction form
    329.58/498.10 = 323.91/x
  3. Step 3: Cross multiply
    329.58x = 498.10 × 323.91
  4. Step 4: Simplify right side
    329.58x = 161,339.57
  5. Step 5: Solve for x
    x = 161,339.57/329.58
  6. Step 6: Final answer
    x = 489.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.