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Finding the Fourth Proportional to 155.52, 231.96 and 133.60

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Solution

The fourth proportional to 155.52, 231.96 and 133.60 is: 199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.52 : 231.96 = 133.60 : x
  2. Step 2: Convert to fraction form
    155.52/231.96 = 133.60/x
  3. Step 3: Cross multiply
    155.52x = 231.96 × 133.60
  4. Step 4: Simplify right side
    155.52x = 30,990.21
  5. Step 5: Solve for x
    x = 30,990.21/155.52
  6. Step 6: Final answer
    x = 199.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.