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Finding the Fourth Proportional to 216.37, 298.42 and 129.03

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Solution

The fourth proportional to 216.37, 298.42 and 129.03 is: 177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.37 : 298.42 = 129.03 : x
  2. Step 2: Convert to fraction form
    216.37/298.42 = 129.03/x
  3. Step 3: Cross multiply
    216.37x = 298.42 × 129.03
  4. Step 4: Simplify right side
    216.37x = 38,505.13
  5. Step 5: Solve for x
    x = 38,505.13/216.37
  6. Step 6: Final answer
    x = 177.96

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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.