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Finding the Fourth Proportional to 325.52, 450.08 and 284.51

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Solution

The fourth proportional to 325.52, 450.08 and 284.51 is: 393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.52 : 450.08 = 284.51 : x
  2. Step 2: Convert to fraction form
    325.52/450.08 = 284.51/x
  3. Step 3: Cross multiply
    325.52x = 450.08 × 284.51
  4. Step 4: Simplify right side
    325.52x = 128,048.59
  5. Step 5: Solve for x
    x = 128,048.59/325.52
  6. Step 6: Final answer
    x = 393.37

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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.