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Finding the Fourth Proportional to 132.94, 183.53 and 89.33

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Solution

The fourth proportional to 132.94, 183.53 and 89.33 is: 123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.94 : 183.53 = 89.33 : x
  2. Step 2: Convert to fraction form
    132.94/183.53 = 89.33/x
  3. Step 3: Cross multiply
    132.94x = 183.53 × 89.33
  4. Step 4: Simplify right side
    132.94x = 16,394.73
  5. Step 5: Solve for x
    x = 16,394.73/132.94
  6. Step 6: Final answer
    x = 123.32

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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.