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Finding the Fourth Proportional to 132.40, 182.80 and 118.54

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Solution

The fourth proportional to 132.40, 182.80 and 118.54 is: 163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.40 : 182.80 = 118.54 : x
  2. Step 2: Convert to fraction form
    132.40/182.80 = 118.54/x
  3. Step 3: Cross multiply
    132.40x = 182.80 × 118.54
  4. Step 4: Simplify right side
    132.40x = 21,669.11
  5. Step 5: Solve for x
    x = 21,669.11/132.40
  6. Step 6: Final answer
    x = 163.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.