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Finding the Fourth Proportional to 115.79, 172.70 and 105.47

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Solution

The fourth proportional to 115.79, 172.70 and 105.47 is: 157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.79 : 172.70 = 105.47 : x
  2. Step 2: Convert to fraction form
    115.79/172.70 = 105.47/x
  3. Step 3: Cross multiply
    115.79x = 172.70 × 105.47
  4. Step 4: Simplify right side
    115.79x = 18,213.28
  5. Step 5: Solve for x
    x = 18,213.28/115.79
  6. Step 6: Final answer
    x = 157.30

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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.