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Finding the Fourth Proportional to 115.15, 172.61 and 114.69

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Solution

The fourth proportional to 115.15, 172.61 and 114.69 is: 171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.15 : 172.61 = 114.69 : x
  2. Step 2: Convert to fraction form
    115.15/172.61 = 114.69/x
  3. Step 3: Cross multiply
    115.15x = 172.61 × 114.69
  4. Step 4: Simplify right side
    115.15x = 19,796.34
  5. Step 5: Solve for x
    x = 19,796.34/115.15
  6. Step 6: Final answer
    x = 171.92

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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.