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Finding the Fourth Proportional to 221.13, 305.26 and 158.16

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Solution

The fourth proportional to 221.13, 305.26 and 158.16 is: 218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.13 : 305.26 = 158.16 : x
  2. Step 2: Convert to fraction form
    221.13/305.26 = 158.16/x
  3. Step 3: Cross multiply
    221.13x = 305.26 × 158.16
  4. Step 4: Simplify right side
    221.13x = 48,279.92
  5. Step 5: Solve for x
    x = 48,279.92/221.13
  6. Step 6: Final answer
    x = 218.33

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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.