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Finding the Fourth Proportional to 113.64, 169.11 and 111.06

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Solution

The fourth proportional to 113.64, 169.11 and 111.06 is: 165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.64 : 169.11 = 111.06 : x
  2. Step 2: Convert to fraction form
    113.64/169.11 = 111.06/x
  3. Step 3: Cross multiply
    113.64x = 169.11 × 111.06
  4. Step 4: Simplify right side
    113.64x = 18,781.36
  5. Step 5: Solve for x
    x = 18,781.36/113.64
  6. Step 6: Final answer
    x = 165.27

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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.