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Finding the Fourth Proportional to 320.75, 442.65 and 182.75

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Solution

The fourth proportional to 320.75, 442.65 and 182.75 is: 252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.75 : 442.65 = 182.75 : x
  2. Step 2: Convert to fraction form
    320.75/442.65 = 182.75/x
  3. Step 3: Cross multiply
    320.75x = 442.65 × 182.75
  4. Step 4: Simplify right side
    320.75x = 80,894.29
  5. Step 5: Solve for x
    x = 80,894.29/320.75
  6. Step 6: Final answer
    x = 252.20

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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.