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Finding the Fourth Proportional to 221.54, 305.72 and 133.06

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Solution

The fourth proportional to 221.54, 305.72 and 133.06 is: 183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.54 : 305.72 = 133.06 : x
  2. Step 2: Convert to fraction form
    221.54/305.72 = 133.06/x
  3. Step 3: Cross multiply
    221.54x = 305.72 × 133.06
  4. Step 4: Simplify right side
    221.54x = 40,679.10
  5. Step 5: Solve for x
    x = 40,679.10/221.54
  6. Step 6: Final answer
    x = 183.62

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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.