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Finding the Fourth Proportional to 133.50, 184.21 and 74.48

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Solution

The fourth proportional to 133.50, 184.21 and 74.48 is: 102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.50 : 184.21 = 74.48 : x
  2. Step 2: Convert to fraction form
    133.50/184.21 = 74.48/x
  3. Step 3: Cross multiply
    133.50x = 184.21 × 74.48
  4. Step 4: Simplify right side
    133.50x = 13,719.96
  5. Step 5: Solve for x
    x = 13,719.96/133.50
  6. Step 6: Final answer
    x = 102.77

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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.