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Finding the Fourth Proportional to 115.39, 172.96 and 54.47

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Solution

The fourth proportional to 115.39, 172.96 and 54.47 is: 81.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.39 : 172.96 = 54.47 : x
  2. Step 2: Convert to fraction form
    115.39/172.96 = 54.47/x
  3. Step 3: Cross multiply
    115.39x = 172.96 × 54.47
  4. Step 4: Simplify right side
    115.39x = 9,421.13
  5. Step 5: Solve for x
    x = 9,421.13/115.39
  6. Step 6: Final answer
    x = 81.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.