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Finding the Fourth Proportional to 131.77, 197.69 and 109.99

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Solution

The fourth proportional to 131.77, 197.69 and 109.99 is: 165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.77 : 197.69 = 109.99 : x
  2. Step 2: Convert to fraction form
    131.77/197.69 = 109.99/x
  3. Step 3: Cross multiply
    131.77x = 197.69 × 109.99
  4. Step 4: Simplify right side
    131.77x = 21,743.92
  5. Step 5: Solve for x
    x = 21,743.92/131.77
  6. Step 6: Final answer
    x = 165.01

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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.