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Finding the Fourth Proportional to 134.22, 202.44 and 116.40

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Solution

The fourth proportional to 134.22, 202.44 and 116.40 is: 175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.22 : 202.44 = 116.40 : x
  2. Step 2: Convert to fraction form
    134.22/202.44 = 116.40/x
  3. Step 3: Cross multiply
    134.22x = 202.44 × 116.40
  4. Step 4: Simplify right side
    134.22x = 23,564.02
  5. Step 5: Solve for x
    x = 23,564.02/134.22
  6. Step 6: Final answer
    x = 175.56

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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.