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Finding the Fourth Proportional to 316.04, 435.97 and 257.09

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Solution

The fourth proportional to 316.04, 435.97 and 257.09 is: 354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.04 : 435.97 = 257.09 : x
  2. Step 2: Convert to fraction form
    316.04/435.97 = 257.09/x
  3. Step 3: Cross multiply
    316.04x = 435.97 × 257.09
  4. Step 4: Simplify right side
    316.04x = 112,086.68
  5. Step 5: Solve for x
    x = 112,086.68/316.04
  6. Step 6: Final answer
    x = 354.66

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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.