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Finding the Fourth Proportional to 316.72, 436.94 and 218.36

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Solution

The fourth proportional to 316.72, 436.94 and 218.36 is: 301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.72 : 436.94 = 218.36 : x
  2. Step 2: Convert to fraction form
    316.72/436.94 = 218.36/x
  3. Step 3: Cross multiply
    316.72x = 436.94 × 218.36
  4. Step 4: Simplify right side
    316.72x = 95,410.22
  5. Step 5: Solve for x
    x = 95,410.22/316.72
  6. Step 6: Final answer
    x = 301.24

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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.