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Finding the Fourth Proportional to 114.87, 172.31 and 69.18

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Solution

The fourth proportional to 114.87, 172.31 and 69.18 is: 103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.87 : 172.31 = 69.18 : x
  2. Step 2: Convert to fraction form
    114.87/172.31 = 69.18/x
  3. Step 3: Cross multiply
    114.87x = 172.31 × 69.18
  4. Step 4: Simplify right side
    114.87x = 11,920.41
  5. Step 5: Solve for x
    x = 11,920.41/114.87
  6. Step 6: Final answer
    x = 103.77

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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.