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Finding the Fourth Proportional to 132.32, 199.15 and 117.44

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Solution

The fourth proportional to 132.32, 199.15 and 117.44 is: 176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.32 : 199.15 = 117.44 : x
  2. Step 2: Convert to fraction form
    132.32/199.15 = 117.44/x
  3. Step 3: Cross multiply
    132.32x = 199.15 × 117.44
  4. Step 4: Simplify right side
    132.32x = 23,388.18
  5. Step 5: Solve for x
    x = 23,388.18/132.32
  6. Step 6: Final answer
    x = 176.75

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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.