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Finding the Fourth Proportional to 221.35, 305.23 and 155.02

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Solution

The fourth proportional to 221.35, 305.23 and 155.02 is: 213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.35 : 305.23 = 155.02 : x
  2. Step 2: Convert to fraction form
    221.35/305.23 = 155.02/x
  3. Step 3: Cross multiply
    221.35x = 305.23 × 155.02
  4. Step 4: Simplify right side
    221.35x = 47,316.75
  5. Step 5: Solve for x
    x = 47,316.75/221.35
  6. Step 6: Final answer
    x = 213.76

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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.