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Finding the Fourth Proportional to 324.78, 448.14 and 186.78

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Solution

The fourth proportional to 324.78, 448.14 and 186.78 is: 257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.78 : 448.14 = 186.78 : x
  2. Step 2: Convert to fraction form
    324.78/448.14 = 186.78/x
  3. Step 3: Cross multiply
    324.78x = 448.14 × 186.78
  4. Step 4: Simplify right side
    324.78x = 83,703.59
  5. Step 5: Solve for x
    x = 83,703.59/324.78
  6. Step 6: Final answer
    x = 257.72

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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.