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Finding the Fourth Proportional to 324.95, 448.34 and 208.53

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Solution

The fourth proportional to 324.95, 448.34 and 208.53 is: 287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.95 : 448.34 = 208.53 : x
  2. Step 2: Convert to fraction form
    324.95/448.34 = 208.53/x
  3. Step 3: Cross multiply
    324.95x = 448.34 × 208.53
  4. Step 4: Simplify right side
    324.95x = 93,491.30
  5. Step 5: Solve for x
    x = 93,491.30/324.95
  6. Step 6: Final answer
    x = 287.71

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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.