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Finding the Fourth Proportional to 114.91, 171.52 and 105.76

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Solution

The fourth proportional to 114.91, 171.52 and 105.76 is: 157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.91 : 171.52 = 105.76 : x
  2. Step 2: Convert to fraction form
    114.91/171.52 = 105.76/x
  3. Step 3: Cross multiply
    114.91x = 171.52 × 105.76
  4. Step 4: Simplify right side
    114.91x = 18,139.00
  5. Step 5: Solve for x
    x = 18,139.00/114.91
  6. Step 6: Final answer
    x = 157.85

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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.