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Finding the Fourth Proportional to 324.36, 447.62 and 177.00

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Solution

The fourth proportional to 324.36, 447.62 and 177.00 is: 244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.36 : 447.62 = 177.00 : x
  2. Step 2: Convert to fraction form
    324.36/447.62 = 177.00/x
  3. Step 3: Cross multiply
    324.36x = 447.62 × 177.00
  4. Step 4: Simplify right side
    324.36x = 79,226.84
  5. Step 5: Solve for x
    x = 79,226.84/324.36
  6. Step 6: Final answer
    x = 244.25

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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.