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Finding the Fourth Proportional to 113.16, 170.73 and 112.86

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Solution

The fourth proportional to 113.16, 170.73 and 112.86 is: 170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.16 : 170.73 = 112.86 : x
  2. Step 2: Convert to fraction form
    113.16/170.73 = 112.86/x
  3. Step 3: Cross multiply
    113.16x = 170.73 × 112.86
  4. Step 4: Simplify right side
    113.16x = 19,268.59
  5. Step 5: Solve for x
    x = 19,268.59/113.16
  6. Step 6: Final answer
    x = 170.28

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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.