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Finding the Fourth Proportional to 110.58, 164.96 and 101.49

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Solution

The fourth proportional to 110.58, 164.96 and 101.49 is: 151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.58 : 164.96 = 101.49 : x
  2. Step 2: Convert to fraction form
    110.58/164.96 = 101.49/x
  3. Step 3: Cross multiply
    110.58x = 164.96 × 101.49
  4. Step 4: Simplify right side
    110.58x = 16,741.28
  5. Step 5: Solve for x
    x = 16,741.28/110.58
  6. Step 6: Final answer
    x = 151.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.