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Finding the Fourth Proportional to 115.71, 172.72 and 107.26

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Solution

The fourth proportional to 115.71, 172.72 and 107.26 is: 160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.71 : 172.72 = 107.26 : x
  2. Step 2: Convert to fraction form
    115.71/172.72 = 107.26/x
  3. Step 3: Cross multiply
    115.71x = 172.72 × 107.26
  4. Step 4: Simplify right side
    115.71x = 18,526.23
  5. Step 5: Solve for x
    x = 18,526.23/115.71
  6. Step 6: Final answer
    x = 160.11

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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.