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Finding the Fourth Proportional to 132.94, 200.21 and 111.47

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Solution

The fourth proportional to 132.94, 200.21 and 111.47 is: 167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.94 : 200.21 = 111.47 : x
  2. Step 2: Convert to fraction form
    132.94/200.21 = 111.47/x
  3. Step 3: Cross multiply
    132.94x = 200.21 × 111.47
  4. Step 4: Simplify right side
    132.94x = 22,317.41
  5. Step 5: Solve for x
    x = 22,317.41/132.94
  6. Step 6: Final answer
    x = 167.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.