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Finding the Fourth Proportional to 175.91, 242.74 and 105.96

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Solution

The fourth proportional to 175.91, 242.74 and 105.96 is: 146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.91 : 242.74 = 105.96 : x
  2. Step 2: Convert to fraction form
    175.91/242.74 = 105.96/x
  3. Step 3: Cross multiply
    175.91x = 242.74 × 105.96
  4. Step 4: Simplify right side
    175.91x = 25,720.47
  5. Step 5: Solve for x
    x = 25,720.47/175.91
  6. Step 6: Final answer
    x = 146.22

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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.