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Finding the Fourth Proportional to 133.32, 182.94 and 123.60

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Solution

The fourth proportional to 133.32, 182.94 and 123.60 is: 169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.32 : 182.94 = 123.60 : x
  2. Step 2: Convert to fraction form
    133.32/182.94 = 123.60/x
  3. Step 3: Cross multiply
    133.32x = 182.94 × 123.60
  4. Step 4: Simplify right side
    133.32x = 22,611.38
  5. Step 5: Solve for x
    x = 22,611.38/133.32
  6. Step 6: Final answer
    x = 169.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.