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Finding the Fourth Proportional to 132.41, 182.98 and 109.06

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Solution

The fourth proportional to 132.41, 182.98 and 109.06 is: 150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.41 : 182.98 = 109.06 : x
  2. Step 2: Convert to fraction form
    132.41/182.98 = 109.06/x
  3. Step 3: Cross multiply
    132.41x = 182.98 × 109.06
  4. Step 4: Simplify right side
    132.41x = 19,955.80
  5. Step 5: Solve for x
    x = 19,955.80/132.41
  6. Step 6: Final answer
    x = 150.71

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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.