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Finding the Fourth Proportional to 325.80, 448.56 and 290.19

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Solution

The fourth proportional to 325.80, 448.56 and 290.19 is: 399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.80 : 448.56 = 290.19 : x
  2. Step 2: Convert to fraction form
    325.80/448.56 = 290.19/x
  3. Step 3: Cross multiply
    325.80x = 448.56 × 290.19
  4. Step 4: Simplify right side
    325.80x = 130,167.63
  5. Step 5: Solve for x
    x = 130,167.63/325.80
  6. Step 6: Final answer
    x = 399.53

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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.