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Finding the Fourth Proportional to 114.45, 172.53 and 107.02

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Solution

The fourth proportional to 114.45, 172.53 and 107.02 is: 161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.45 : 172.53 = 107.02 : x
  2. Step 2: Convert to fraction form
    114.45/172.53 = 107.02/x
  3. Step 3: Cross multiply
    114.45x = 172.53 × 107.02
  4. Step 4: Simplify right side
    114.45x = 18,464.16
  5. Step 5: Solve for x
    x = 18,464.16/114.45
  6. Step 6: Final answer
    x = 161.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.