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Finding the Fourth Proportional to 325.22, 448.80 and 177.84

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Solution

The fourth proportional to 325.22, 448.80 and 177.84 is: 245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.22 : 448.80 = 177.84 : x
  2. Step 2: Convert to fraction form
    325.22/448.80 = 177.84/x
  3. Step 3: Cross multiply
    325.22x = 448.80 × 177.84
  4. Step 4: Simplify right side
    325.22x = 79,814.59
  5. Step 5: Solve for x
    x = 79,814.59/325.22
  6. Step 6: Final answer
    x = 245.42

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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.