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Finding the Fourth Proportional to 221.48, 305.51 and 132.93

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Solution

The fourth proportional to 221.48, 305.51 and 132.93 is: 183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.48 : 305.51 = 132.93 : x
  2. Step 2: Convert to fraction form
    221.48/305.51 = 132.93/x
  3. Step 3: Cross multiply
    221.48x = 305.51 × 132.93
  4. Step 4: Simplify right side
    221.48x = 40,611.44
  5. Step 5: Solve for x
    x = 40,611.44/221.48
  6. Step 6: Final answer
    x = 183.37

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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.