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Finding the Fourth Proportional to 325.02, 448.64 and 200.78

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Solution

The fourth proportional to 325.02, 448.64 and 200.78 is: 277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.02 : 448.64 = 200.78 : x
  2. Step 2: Convert to fraction form
    325.02/448.64 = 200.78/x
  3. Step 3: Cross multiply
    325.02x = 448.64 × 200.78
  4. Step 4: Simplify right side
    325.02x = 90,077.94
  5. Step 5: Solve for x
    x = 90,077.94/325.02
  6. Step 6: Final answer
    x = 277.15

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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.