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Finding the Fourth Proportional to 325.98, 448.81 and 260.37

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Solution

The fourth proportional to 325.98, 448.81 and 260.37 is: 358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.98 : 448.81 = 260.37 : x
  2. Step 2: Convert to fraction form
    325.98/448.81 = 260.37/x
  3. Step 3: Cross multiply
    325.98x = 448.81 × 260.37
  4. Step 4: Simplify right side
    325.98x = 116,856.01
  5. Step 5: Solve for x
    x = 116,856.01/325.98
  6. Step 6: Final answer
    x = 358.48

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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.