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Finding the Fourth Proportional to 115.33, 172.04 and 105.07

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Solution

The fourth proportional to 115.33, 172.04 and 105.07 is: 156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.33 : 172.04 = 105.07 : x
  2. Step 2: Convert to fraction form
    115.33/172.04 = 105.07/x
  3. Step 3: Cross multiply
    115.33x = 172.04 × 105.07
  4. Step 4: Simplify right side
    115.33x = 18,076.24
  5. Step 5: Solve for x
    x = 18,076.24/115.33
  6. Step 6: Final answer
    x = 156.73

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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.