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Finding the Fourth Proportional to 319.78, 441.28 and 179.90

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Solution

The fourth proportional to 319.78, 441.28 and 179.90 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.78 : 441.28 = 179.90 : x
  2. Step 2: Convert to fraction form
    319.78/441.28 = 179.90/x
  3. Step 3: Cross multiply
    319.78x = 441.28 × 179.90
  4. Step 4: Simplify right side
    319.78x = 79,386.27
  5. Step 5: Solve for x
    x = 79,386.27/319.78
  6. Step 6: Final answer
    x = 248.25

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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.