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Finding the Fourth Proportional to 134.69, 185.87 and 111.29

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Solution

The fourth proportional to 134.69, 185.87 and 111.29 is: 153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.69 : 185.87 = 111.29 : x
  2. Step 2: Convert to fraction form
    134.69/185.87 = 111.29/x
  3. Step 3: Cross multiply
    134.69x = 185.87 × 111.29
  4. Step 4: Simplify right side
    134.69x = 20,685.47
  5. Step 5: Solve for x
    x = 20,685.47/134.69
  6. Step 6: Final answer
    x = 153.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.