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Finding the Fourth Proportional to 133.77, 183.54 and 130.33

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Solution

The fourth proportional to 133.77, 183.54 and 130.33 is: 178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.77 : 183.54 = 130.33 : x
  2. Step 2: Convert to fraction form
    133.77/183.54 = 130.33/x
  3. Step 3: Cross multiply
    133.77x = 183.54 × 130.33
  4. Step 4: Simplify right side
    133.77x = 23,920.77
  5. Step 5: Solve for x
    x = 23,920.77/133.77
  6. Step 6: Final answer
    x = 178.82

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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.