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Finding the Fourth Proportional to 218.07, 300.99 and 129.57

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Solution

The fourth proportional to 218.07, 300.99 and 129.57 is: 178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.07 : 300.99 = 129.57 : x
  2. Step 2: Convert to fraction form
    218.07/300.99 = 129.57/x
  3. Step 3: Cross multiply
    218.07x = 300.99 × 129.57
  4. Step 4: Simplify right side
    218.07x = 38,999.27
  5. Step 5: Solve for x
    x = 38,999.27/218.07
  6. Step 6: Final answer
    x = 178.84

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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.