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Finding the Fourth Proportional to 221.82, 333.03 and 176.36

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Solution

The fourth proportional to 221.82, 333.03 and 176.36 is: 264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.82 : 333.03 = 176.36 : x
  2. Step 2: Convert to fraction form
    221.82/333.03 = 176.36/x
  3. Step 3: Cross multiply
    221.82x = 333.03 × 176.36
  4. Step 4: Simplify right side
    221.82x = 58,731.51
  5. Step 5: Solve for x
    x = 58,731.51/221.82
  6. Step 6: Final answer
    x = 264.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.