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Finding the Fourth Proportional to 325.10, 448.26 and 288.20

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Solution

The fourth proportional to 325.10, 448.26 and 288.20 is: 397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.10 : 448.26 = 288.20 : x
  2. Step 2: Convert to fraction form
    325.10/448.26 = 288.20/x
  3. Step 3: Cross multiply
    325.10x = 448.26 × 288.20
  4. Step 4: Simplify right side
    325.10x = 129,188.53
  5. Step 5: Solve for x
    x = 129,188.53/325.10
  6. Step 6: Final answer
    x = 397.38

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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.