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Finding the Fourth Proportional to 113.99, 169.74 and 112.77

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Solution

The fourth proportional to 113.99, 169.74 and 112.77 is: 167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.99 : 169.74 = 112.77 : x
  2. Step 2: Convert to fraction form
    113.99/169.74 = 112.77/x
  3. Step 3: Cross multiply
    113.99x = 169.74 × 112.77
  4. Step 4: Simplify right side
    113.99x = 19,141.58
  5. Step 5: Solve for x
    x = 19,141.58/113.99
  6. Step 6: Final answer
    x = 167.93

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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.