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Finding the Fourth Proportional to 175.86, 242.79 and 113.78

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Solution

The fourth proportional to 175.86, 242.79 and 113.78 is: 157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.86 : 242.79 = 113.78 : x
  2. Step 2: Convert to fraction form
    175.86/242.79 = 113.78/x
  3. Step 3: Cross multiply
    175.86x = 242.79 × 113.78
  4. Step 4: Simplify right side
    175.86x = 27,624.65
  5. Step 5: Solve for x
    x = 27,624.65/175.86
  6. Step 6: Final answer
    x = 157.08

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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.