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Finding the Fourth Proportional to 133.60, 183.16 and 129.28

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Solution

The fourth proportional to 133.60, 183.16 and 129.28 is: 177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.60 : 183.16 = 129.28 : x
  2. Step 2: Convert to fraction form
    133.60/183.16 = 129.28/x
  3. Step 3: Cross multiply
    133.60x = 183.16 × 129.28
  4. Step 4: Simplify right side
    133.60x = 23,678.92
  5. Step 5: Solve for x
    x = 23,678.92/133.60
  6. Step 6: Final answer
    x = 177.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.