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Finding the Fourth Proportional to 325.86, 450.06 and 284.34

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Solution

The fourth proportional to 325.86, 450.06 and 284.34 is: 392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.86 : 450.06 = 284.34 : x
  2. Step 2: Convert to fraction form
    325.86/450.06 = 284.34/x
  3. Step 3: Cross multiply
    325.86x = 450.06 × 284.34
  4. Step 4: Simplify right side
    325.86x = 127,970.06
  5. Step 5: Solve for x
    x = 127,970.06/325.86
  6. Step 6: Final answer
    x = 392.71

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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.