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Finding the Fourth Proportional to 113.64, 171.36 and 111.48

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Solution

The fourth proportional to 113.64, 171.36 and 111.48 is: 168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.64 : 171.36 = 111.48 : x
  2. Step 2: Convert to fraction form
    113.64/171.36 = 111.48/x
  3. Step 3: Cross multiply
    113.64x = 171.36 × 111.48
  4. Step 4: Simplify right side
    113.64x = 19,103.21
  5. Step 5: Solve for x
    x = 19,103.21/113.64
  6. Step 6: Final answer
    x = 168.10

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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.