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Finding the Fourth Proportional to 217.83, 300.56 and 129.31

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Solution

The fourth proportional to 217.83, 300.56 and 129.31 is: 178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.83 : 300.56 = 129.31 : x
  2. Step 2: Convert to fraction form
    217.83/300.56 = 129.31/x
  3. Step 3: Cross multiply
    217.83x = 300.56 × 129.31
  4. Step 4: Simplify right side
    217.83x = 38,865.74
  5. Step 5: Solve for x
    x = 38,865.74/217.83
  6. Step 6: Final answer
    x = 178.42

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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.