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Finding the Fourth Proportional to 132.58, 182.91 and 117.19

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Solution

The fourth proportional to 132.58, 182.91 and 117.19 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.58 : 182.91 = 117.19 : x
  2. Step 2: Convert to fraction form
    132.58/182.91 = 117.19/x
  3. Step 3: Cross multiply
    132.58x = 182.91 × 117.19
  4. Step 4: Simplify right side
    132.58x = 21,435.22
  5. Step 5: Solve for x
    x = 21,435.22/132.58
  6. Step 6: Final answer
    x = 161.68

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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.