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Finding the Fourth Proportional to 325.38, 448.94 and 201.10

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Solution

The fourth proportional to 325.38, 448.94 and 201.10 is: 277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.38 : 448.94 = 201.10 : x
  2. Step 2: Convert to fraction form
    325.38/448.94 = 201.10/x
  3. Step 3: Cross multiply
    325.38x = 448.94 × 201.10
  4. Step 4: Simplify right side
    325.38x = 90,281.83
  5. Step 5: Solve for x
    x = 90,281.83/325.38
  6. Step 6: Final answer
    x = 277.47

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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.