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Finding the Fourth Proportional to 316.94, 437.37 and 185.96

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Solution

The fourth proportional to 316.94, 437.37 and 185.96 is: 256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.94 : 437.37 = 185.96 : x
  2. Step 2: Convert to fraction form
    316.94/437.37 = 185.96/x
  3. Step 3: Cross multiply
    316.94x = 437.37 × 185.96
  4. Step 4: Simplify right side
    316.94x = 81,333.33
  5. Step 5: Solve for x
    x = 81,333.33/316.94
  6. Step 6: Final answer
    x = 256.62

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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.