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Finding the Fourth Proportional to 113.30, 170.05 and 105.81

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Solution

The fourth proportional to 113.30, 170.05 and 105.81 is: 158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.30 : 170.05 = 105.81 : x
  2. Step 2: Convert to fraction form
    113.30/170.05 = 105.81/x
  3. Step 3: Cross multiply
    113.30x = 170.05 × 105.81
  4. Step 4: Simplify right side
    113.30x = 17,992.99
  5. Step 5: Solve for x
    x = 17,992.99/113.30
  6. Step 6: Final answer
    x = 158.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.