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Finding the Fourth Proportional to 116.25, 175.38 and 113.01

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Solution

The fourth proportional to 116.25, 175.38 and 113.01 is: 170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.25 : 175.38 = 113.01 : x
  2. Step 2: Convert to fraction form
    116.25/175.38 = 113.01/x
  3. Step 3: Cross multiply
    116.25x = 175.38 × 113.01
  4. Step 4: Simplify right side
    116.25x = 19,819.69
  5. Step 5: Solve for x
    x = 19,819.69/116.25
  6. Step 6: Final answer
    x = 170.49

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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.