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Finding the Fourth Proportional to 233.10, 321.60 and 129.60

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Solution

The fourth proportional to 233.10, 321.60 and 129.60 is: 178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.10 : 321.60 = 129.60 : x
  2. Step 2: Convert to fraction form
    233.10/321.60 = 129.60/x
  3. Step 3: Cross multiply
    233.10x = 321.60 × 129.60
  4. Step 4: Simplify right side
    233.10x = 41,679.36
  5. Step 5: Solve for x
    x = 41,679.36/233.10
  6. Step 6: Final answer
    x = 178.80

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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.