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Finding the Fourth Proportional to 316.97, 435.09 and 292.37

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Solution

The fourth proportional to 316.97, 435.09 and 292.37 is: 401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.97 : 435.09 = 292.37 : x
  2. Step 2: Convert to fraction form
    316.97/435.09 = 292.37/x
  3. Step 3: Cross multiply
    316.97x = 435.09 × 292.37
  4. Step 4: Simplify right side
    316.97x = 127,205.09
  5. Step 5: Solve for x
    x = 127,205.09/316.97
  6. Step 6: Final answer
    x = 401.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.