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Finding the Fourth Proportional to 324.33, 448.16 and 259.35

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Solution

The fourth proportional to 324.33, 448.16 and 259.35 is: 358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.33 : 448.16 = 259.35 : x
  2. Step 2: Convert to fraction form
    324.33/448.16 = 259.35/x
  3. Step 3: Cross multiply
    324.33x = 448.16 × 259.35
  4. Step 4: Simplify right side
    324.33x = 116,229.00
  5. Step 5: Solve for x
    x = 116,229.00/324.33
  6. Step 6: Final answer
    x = 358.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.