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Finding the Fourth Proportional to 324.72, 448.06 and 208.32

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Solution

The fourth proportional to 324.72, 448.06 and 208.32 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.72 : 448.06 = 208.32 : x
  2. Step 2: Convert to fraction form
    324.72/448.06 = 208.32/x
  3. Step 3: Cross multiply
    324.72x = 448.06 × 208.32
  4. Step 4: Simplify right side
    324.72x = 93,339.86
  5. Step 5: Solve for x
    x = 93,339.86/324.72
  6. Step 6: Final answer
    x = 287.45

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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.