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Finding the Fourth Proportional to 320.31, 483.12 and 282.27

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Solution

The fourth proportional to 320.31, 483.12 and 282.27 is: 425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.31 : 483.12 = 282.27 : x
  2. Step 2: Convert to fraction form
    320.31/483.12 = 282.27/x
  3. Step 3: Cross multiply
    320.31x = 483.12 × 282.27
  4. Step 4: Simplify right side
    320.31x = 136,367.87
  5. Step 5: Solve for x
    x = 136,367.87/320.31
  6. Step 6: Final answer
    x = 425.74

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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.