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Finding the Fourth Proportional to 324.36, 486.60 and 315.45

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Solution

The fourth proportional to 324.36, 486.60 and 315.45 is: 473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.36 : 486.60 = 315.45 : x
  2. Step 2: Convert to fraction form
    324.36/486.60 = 315.45/x
  3. Step 3: Cross multiply
    324.36x = 486.60 × 315.45
  4. Step 4: Simplify right side
    324.36x = 153,497.97
  5. Step 5: Solve for x
    x = 153,497.97/324.36
  6. Step 6: Final answer
    x = 473.23

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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.