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Finding the Fourth Proportional to 319.97, 442.33 and 287.17

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Solution

The fourth proportional to 319.97, 442.33 and 287.17 is: 396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.97 : 442.33 = 287.17 : x
  2. Step 2: Convert to fraction form
    319.97/442.33 = 287.17/x
  3. Step 3: Cross multiply
    319.97x = 442.33 × 287.17
  4. Step 4: Simplify right side
    319.97x = 127,022.08
  5. Step 5: Solve for x
    x = 127,022.08/319.97
  6. Step 6: Final answer
    x = 396.98

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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.