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Finding the Fourth Proportional to 134.40, 185.04 and 122.25

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Solution

The fourth proportional to 134.40, 185.04 and 122.25 is: 168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.40 : 185.04 = 122.25 : x
  2. Step 2: Convert to fraction form
    134.40/185.04 = 122.25/x
  3. Step 3: Cross multiply
    134.40x = 185.04 × 122.25
  4. Step 4: Simplify right side
    134.40x = 22,621.14
  5. Step 5: Solve for x
    x = 22,621.14/134.40
  6. Step 6: Final answer
    x = 168.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.