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Finding the Fourth Proportional to 114.91, 171.63 and 104.06

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Solution

The fourth proportional to 114.91, 171.63 and 104.06 is: 155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.91 : 171.63 = 104.06 : x
  2. Step 2: Convert to fraction form
    114.91/171.63 = 104.06/x
  3. Step 3: Cross multiply
    114.91x = 171.63 × 104.06
  4. Step 4: Simplify right side
    114.91x = 17,859.82
  5. Step 5: Solve for x
    x = 17,859.82/114.91
  6. Step 6: Final answer
    x = 155.42

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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.