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Finding the Fourth Proportional to 320.82, 483.17 and 282.79

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Solution

The fourth proportional to 320.82, 483.17 and 282.79 is: 425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.82 : 483.17 = 282.79 : x
  2. Step 2: Convert to fraction form
    320.82/483.17 = 282.79/x
  3. Step 3: Cross multiply
    320.82x = 483.17 × 282.79
  4. Step 4: Simplify right side
    320.82x = 136,635.64
  5. Step 5: Solve for x
    x = 136,635.64/320.82
  6. Step 6: Final answer
    x = 425.90

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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.