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Finding the Fourth Proportional to 325.21, 448.78 and 177.85

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Solution

The fourth proportional to 325.21, 448.78 and 177.85 is: 245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.21 : 448.78 = 177.85 : x
  2. Step 2: Convert to fraction form
    325.21/448.78 = 177.85/x
  3. Step 3: Cross multiply
    325.21x = 448.78 × 177.85
  4. Step 4: Simplify right side
    325.21x = 79,815.52
  5. Step 5: Solve for x
    x = 79,815.52/325.21
  6. Step 6: Final answer
    x = 245.43

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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.