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Finding the Fourth Proportional to 114.54, 172.50 and 103.84

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Solution

The fourth proportional to 114.54, 172.50 and 103.84 is: 156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 172.50 = 103.84 : x
  2. Step 2: Convert to fraction form
    114.54/172.50 = 103.84/x
  3. Step 3: Cross multiply
    114.54x = 172.50 × 103.84
  4. Step 4: Simplify right side
    114.54x = 17,912.40
  5. Step 5: Solve for x
    x = 17,912.40/114.54
  6. Step 6: Final answer
    x = 156.39

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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.