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Finding the Fourth Proportional to 115.65, 174.23 and 105.24

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Solution

The fourth proportional to 115.65, 174.23 and 105.24 is: 158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.65 : 174.23 = 105.24 : x
  2. Step 2: Convert to fraction form
    115.65/174.23 = 105.24/x
  3. Step 3: Cross multiply
    115.65x = 174.23 × 105.24
  4. Step 4: Simplify right side
    115.65x = 18,335.44
  5. Step 5: Solve for x
    x = 18,335.44/115.65
  6. Step 6: Final answer
    x = 158.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.