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Finding the Fourth Proportional to 133.62, 184.08 and 92.10

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Solution

The fourth proportional to 133.62, 184.08 and 92.10 is: 126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.62 : 184.08 = 92.10 : x
  2. Step 2: Convert to fraction form
    133.62/184.08 = 92.10/x
  3. Step 3: Cross multiply
    133.62x = 184.08 × 92.10
  4. Step 4: Simplify right side
    133.62x = 16,953.77
  5. Step 5: Solve for x
    x = 16,953.77/133.62
  6. Step 6: Final answer
    x = 126.88

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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.