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Finding the Fourth Proportional to 325.77, 490.86 and 269.25

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Solution

The fourth proportional to 325.77, 490.86 and 269.25 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.77 : 490.86 = 269.25 : x
  2. Step 2: Convert to fraction form
    325.77/490.86 = 269.25/x
  3. Step 3: Cross multiply
    325.77x = 490.86 × 269.25
  4. Step 4: Simplify right side
    325.77x = 132,164.06
  5. Step 5: Solve for x
    x = 132,164.06/325.77
  6. Step 6: Final answer
    x = 405.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.