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Finding the Fourth Proportional to 221.16, 330.24 and 174.99

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Solution

The fourth proportional to 221.16, 330.24 and 174.99 is: 261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.16 : 330.24 = 174.99 : x
  2. Step 2: Convert to fraction form
    221.16/330.24 = 174.99/x
  3. Step 3: Cross multiply
    221.16x = 330.24 × 174.99
  4. Step 4: Simplify right side
    221.16x = 57,790.59
  5. Step 5: Solve for x
    x = 57,790.59/221.16
  6. Step 6: Final answer
    x = 261.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.