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Finding the Fourth Proportional to 133.07, 183.74 and 108.77

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Solution

The fourth proportional to 133.07, 183.74 and 108.77 is: 150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.07 : 183.74 = 108.77 : x
  2. Step 2: Convert to fraction form
    133.07/183.74 = 108.77/x
  3. Step 3: Cross multiply
    133.07x = 183.74 × 108.77
  4. Step 4: Simplify right side
    133.07x = 19,983.94
  5. Step 5: Solve for x
    x = 19,983.94/133.07
  6. Step 6: Final answer
    x = 150.18

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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.