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Finding the Fourth Proportional to 329.68, 491.45 and 324.68

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Solution

The fourth proportional to 329.68, 491.45 and 324.68 is: 483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.68 : 491.45 = 324.68 : x
  2. Step 2: Convert to fraction form
    329.68/491.45 = 324.68/x
  3. Step 3: Cross multiply
    329.68x = 491.45 × 324.68
  4. Step 4: Simplify right side
    329.68x = 159,559.91
  5. Step 5: Solve for x
    x = 159,559.91/329.68
  6. Step 6: Final answer
    x = 483.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.