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Finding the Fourth Proportional to 110.58, 153.64 and 109.11

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Solution

The fourth proportional to 110.58, 153.64 and 109.11 is: 151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.58 : 153.64 = 109.11 : x
  2. Step 2: Convert to fraction form
    110.58/153.64 = 109.11/x
  3. Step 3: Cross multiply
    110.58x = 153.64 × 109.11
  4. Step 4: Simplify right side
    110.58x = 16,764.37
  5. Step 5: Solve for x
    x = 16,764.37/110.58
  6. Step 6: Final answer
    x = 151.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.