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Finding the Fourth Proportional to 495.12, 682.80 and 320.40

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Solution

The fourth proportional to 495.12, 682.80 and 320.40 is: 441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.12 : 682.80 = 320.40 : x
  2. Step 2: Convert to fraction form
    495.12/682.80 = 320.40/x
  3. Step 3: Cross multiply
    495.12x = 682.80 × 320.40
  4. Step 4: Simplify right side
    495.12x = 218,769.12
  5. Step 5: Solve for x
    x = 218,769.12/495.12
  6. Step 6: Final answer
    x = 441.85

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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.