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Finding the Fourth Proportional to 456.83, 685.15 and 182.83

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Solution

The fourth proportional to 456.83, 685.15 and 182.83 is: 274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.83 : 685.15 = 182.83 : x
  2. Step 2: Convert to fraction form
    456.83/685.15 = 182.83/x
  3. Step 3: Cross multiply
    456.83x = 685.15 × 182.83
  4. Step 4: Simplify right side
    456.83x = 125,265.97
  5. Step 5: Solve for x
    x = 125,265.97/456.83
  6. Step 6: Final answer
    x = 274.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.