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Finding the Fourth Proportional to 319.20, 441 and 293.28

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Solution

The fourth proportional to 319.20, 441 and 293.28 is: 405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.20 : 441 = 293.28 : x
  2. Step 2: Convert to fraction form
    319.20/441 = 293.28/x
  3. Step 3: Cross multiply
    319.20x = 441 × 293.28
  4. Step 4: Simplify right side
    319.20x = 129,336.48
  5. Step 5: Solve for x
    x = 129,336.48/319.20
  6. Step 6: Final answer
    x = 405.19

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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.