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Finding the Fourth Proportional to 323.04, 486.30 and 276.06

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Solution

The fourth proportional to 323.04, 486.30 and 276.06 is: 415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.04 : 486.30 = 276.06 : x
  2. Step 2: Convert to fraction form
    323.04/486.30 = 276.06/x
  3. Step 3: Cross multiply
    323.04x = 486.30 × 276.06
  4. Step 4: Simplify right side
    323.04x = 134,247.98
  5. Step 5: Solve for x
    x = 134,247.98/323.04
  6. Step 6: Final answer
    x = 415.58

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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.