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Finding the Fourth Proportional to 324.78, 448.08 and 214.32

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Solution

The fourth proportional to 324.78, 448.08 and 214.32 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.78 : 448.08 = 214.32 : x
  2. Step 2: Convert to fraction form
    324.78/448.08 = 214.32/x
  3. Step 3: Cross multiply
    324.78x = 448.08 × 214.32
  4. Step 4: Simplify right side
    324.78x = 96,032.51
  5. Step 5: Solve for x
    x = 96,032.51/324.78
  6. Step 6: Final answer
    x = 295.68

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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.