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Finding the Fourth Proportional to 325.49, 448.74 and 259.30

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Solution

The fourth proportional to 325.49, 448.74 and 259.30 is: 357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.49 : 448.74 = 259.30 : x
  2. Step 2: Convert to fraction form
    325.49/448.74 = 259.30/x
  3. Step 3: Cross multiply
    325.49x = 448.74 × 259.30
  4. Step 4: Simplify right side
    325.49x = 116,358.84
  5. Step 5: Solve for x
    x = 116,358.84/325.49
  6. Step 6: Final answer
    x = 357.49

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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.