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Finding the Fourth Proportional to 114.67, 172.16 and 97.66

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Solution

The fourth proportional to 114.67, 172.16 and 97.66 is: 146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.67 : 172.16 = 97.66 : x
  2. Step 2: Convert to fraction form
    114.67/172.16 = 97.66/x
  3. Step 3: Cross multiply
    114.67x = 172.16 × 97.66
  4. Step 4: Simplify right side
    114.67x = 16,811.80
  5. Step 5: Solve for x
    x = 16,811.80/114.67
  6. Step 6: Final answer
    x = 146.62

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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.