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Finding the Fourth Proportional to 322.79, 486.20 and 262.64

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Solution

The fourth proportional to 322.79, 486.20 and 262.64 is: 395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.79 : 486.20 = 262.64 : x
  2. Step 2: Convert to fraction form
    322.79/486.20 = 262.64/x
  3. Step 3: Cross multiply
    322.79x = 486.20 × 262.64
  4. Step 4: Simplify right side
    322.79x = 127,697.44
  5. Step 5: Solve for x
    x = 127,697.44/322.79
  6. Step 6: Final answer
    x = 395.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.