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Finding the Fourth Proportional to 325.62, 448.32 and 276.34

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Solution

The fourth proportional to 325.62, 448.32 and 276.34 is: 380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.62 : 448.32 = 276.34 : x
  2. Step 2: Convert to fraction form
    325.62/448.32 = 276.34/x
  3. Step 3: Cross multiply
    325.62x = 448.32 × 276.34
  4. Step 4: Simplify right side
    325.62x = 123,888.75
  5. Step 5: Solve for x
    x = 123,888.75/325.62
  6. Step 6: Final answer
    x = 380.47

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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.