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Finding the Fourth Proportional to 495.06, 682.47 and 320.10

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Solution

The fourth proportional to 495.06, 682.47 and 320.10 is: 441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.06 : 682.47 = 320.10 : x
  2. Step 2: Convert to fraction form
    495.06/682.47 = 320.10/x
  3. Step 3: Cross multiply
    495.06x = 682.47 × 320.10
  4. Step 4: Simplify right side
    495.06x = 218,458.65
  5. Step 5: Solve for x
    x = 218,458.65/495.06
  6. Step 6: Final answer
    x = 441.28

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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.