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Finding the Fourth Proportional to 319.63, 441.05 and 179.76

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Solution

The fourth proportional to 319.63, 441.05 and 179.76 is: 248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.63 : 441.05 = 179.76 : x
  2. Step 2: Convert to fraction form
    319.63/441.05 = 179.76/x
  3. Step 3: Cross multiply
    319.63x = 441.05 × 179.76
  4. Step 4: Simplify right side
    319.63x = 79,280.94
  5. Step 5: Solve for x
    x = 79,280.94/319.63
  6. Step 6: Final answer
    x = 248.04

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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.