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Finding the Fourth Proportional to 325.25, 448.56 and 200.87

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Solution

The fourth proportional to 325.25, 448.56 and 200.87 is: 277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.25 : 448.56 = 200.87 : x
  2. Step 2: Convert to fraction form
    325.25/448.56 = 200.87/x
  3. Step 3: Cross multiply
    325.25x = 448.56 × 200.87
  4. Step 4: Simplify right side
    325.25x = 90,100.00
  5. Step 5: Solve for x
    x = 90,100.00/325.25
  6. Step 6: Final answer
    x = 277.02

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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.