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Finding the Fourth Proportional to 134.84, 201.16 and 120.13

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Solution

The fourth proportional to 134.84, 201.16 and 120.13 is: 179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.84 : 201.16 = 120.13 : x
  2. Step 2: Convert to fraction form
    134.84/201.16 = 120.13/x
  3. Step 3: Cross multiply
    134.84x = 201.16 × 120.13
  4. Step 4: Simplify right side
    134.84x = 24,164.75
  5. Step 5: Solve for x
    x = 24,164.75/134.84
  6. Step 6: Final answer
    x = 179.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.