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Finding the Fourth Proportional to 495.21, 683.04 and 320.25

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Solution

The fourth proportional to 495.21, 683.04 and 320.25 is: 441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.21 : 683.04 = 320.25 : x
  2. Step 2: Convert to fraction form
    495.21/683.04 = 320.25/x
  3. Step 3: Cross multiply
    495.21x = 683.04 × 320.25
  4. Step 4: Simplify right side
    495.21x = 218,743.56
  5. Step 5: Solve for x
    x = 218,743.56/495.21
  6. Step 6: Final answer
    x = 441.72

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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.