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Finding the Fourth Proportional to 114.50, 171.30 and 105.38

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Solution

The fourth proportional to 114.50, 171.30 and 105.38 is: 157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.50 : 171.30 = 105.38 : x
  2. Step 2: Convert to fraction form
    114.50/171.30 = 105.38/x
  3. Step 3: Cross multiply
    114.50x = 171.30 × 105.38
  4. Step 4: Simplify right side
    114.50x = 18,051.59
  5. Step 5: Solve for x
    x = 18,051.59/114.50
  6. Step 6: Final answer
    x = 157.66

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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.