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Finding the Fourth Proportional to 217.74, 300.54 and 129.24

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Solution

The fourth proportional to 217.74, 300.54 and 129.24 is: 178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.74 : 300.54 = 129.24 : x
  2. Step 2: Convert to fraction form
    217.74/300.54 = 129.24/x
  3. Step 3: Cross multiply
    217.74x = 300.54 × 129.24
  4. Step 4: Simplify right side
    217.74x = 38,842.27
  5. Step 5: Solve for x
    x = 38,842.27/217.74
  6. Step 6: Final answer
    x = 178.39

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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.