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Finding the Fourth Proportional to 324.69, 489.48 and 303.81

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Solution

The fourth proportional to 324.69, 489.48 and 303.81 is: 458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.69 : 489.48 = 303.81 : x
  2. Step 2: Convert to fraction form
    324.69/489.48 = 303.81/x
  3. Step 3: Cross multiply
    324.69x = 489.48 × 303.81
  4. Step 4: Simplify right side
    324.69x = 148,704.95
  5. Step 5: Solve for x
    x = 148,704.95/324.69
  6. Step 6: Final answer
    x = 458.00

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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.