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Finding the Fourth Proportional to 325.86, 449.86 and 252.02

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Solution

The fourth proportional to 325.86, 449.86 and 252.02 is: 347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.86 : 449.86 = 252.02 : x
  2. Step 2: Convert to fraction form
    325.86/449.86 = 252.02/x
  3. Step 3: Cross multiply
    325.86x = 449.86 × 252.02
  4. Step 4: Simplify right side
    325.86x = 113,373.72
  5. Step 5: Solve for x
    x = 113,373.72/325.86
  6. Step 6: Final answer
    x = 347.92

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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.