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Finding the Fourth Proportional to 134.18, 201.47 and 107.25

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Solution

The fourth proportional to 134.18, 201.47 and 107.25 is: 161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.18 : 201.47 = 107.25 : x
  2. Step 2: Convert to fraction form
    134.18/201.47 = 107.25/x
  3. Step 3: Cross multiply
    134.18x = 201.47 × 107.25
  4. Step 4: Simplify right side
    134.18x = 21,607.12
  5. Step 5: Solve for x
    x = 21,607.12/134.18
  6. Step 6: Final answer
    x = 161.04

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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.