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Finding the Fourth Proportional to 323.16, 486.60 and 265.92

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Solution

The fourth proportional to 323.16, 486.60 and 265.92 is: 400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.16 : 486.60 = 265.92 : x
  2. Step 2: Convert to fraction form
    323.16/486.60 = 265.92/x
  3. Step 3: Cross multiply
    323.16x = 486.60 × 265.92
  4. Step 4: Simplify right side
    323.16x = 129,396.67
  5. Step 5: Solve for x
    x = 129,396.67/323.16
  6. Step 6: Final answer
    x = 400.41

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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.