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Finding the Fourth Proportional to 115.76, 172.64 and 107.66

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Solution

The fourth proportional to 115.76, 172.64 and 107.66 is: 160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.76 : 172.64 = 107.66 : x
  2. Step 2: Convert to fraction form
    115.76/172.64 = 107.66/x
  3. Step 3: Cross multiply
    115.76x = 172.64 × 107.66
  4. Step 4: Simplify right side
    115.76x = 18,586.42
  5. Step 5: Solve for x
    x = 18,586.42/115.76
  6. Step 6: Final answer
    x = 160.56

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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.