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Finding the Fourth Proportional to 112.90, 154.43 and 110.20

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Solution

The fourth proportional to 112.90, 154.43 and 110.20 is: 150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.90 : 154.43 = 110.20 : x
  2. Step 2: Convert to fraction form
    112.90/154.43 = 110.20/x
  3. Step 3: Cross multiply
    112.90x = 154.43 × 110.20
  4. Step 4: Simplify right side
    112.90x = 17,018.19
  5. Step 5: Solve for x
    x = 17,018.19/112.90
  6. Step 6: Final answer
    x = 150.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.