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Finding the Fourth Proportional to 114.59, 172.11 and 108.46

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Solution

The fourth proportional to 114.59, 172.11 and 108.46 is: 162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.59 : 172.11 = 108.46 : x
  2. Step 2: Convert to fraction form
    114.59/172.11 = 108.46/x
  3. Step 3: Cross multiply
    114.59x = 172.11 × 108.46
  4. Step 4: Simplify right side
    114.59x = 18,667.05
  5. Step 5: Solve for x
    x = 18,667.05/114.59
  6. Step 6: Final answer
    x = 162.90

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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.