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Finding the Fourth Proportional to 218.69, 301.79 and 131.36

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Solution

The fourth proportional to 218.69, 301.79 and 131.36 is: 181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.69 : 301.79 = 131.36 : x
  2. Step 2: Convert to fraction form
    218.69/301.79 = 131.36/x
  3. Step 3: Cross multiply
    218.69x = 301.79 × 131.36
  4. Step 4: Simplify right side
    218.69x = 39,643.13
  5. Step 5: Solve for x
    x = 39,643.13/218.69
  6. Step 6: Final answer
    x = 181.28

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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.