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Finding the Fourth Proportional to 221.00, 305.24 and 174.53

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Solution

The fourth proportional to 221.00, 305.24 and 174.53 is: 241.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.00 : 305.24 = 174.53 : x
  2. Step 2: Convert to fraction form
    221.00/305.24 = 174.53/x
  3. Step 3: Cross multiply
    221.00x = 305.24 × 174.53
  4. Step 4: Simplify right side
    221.00x = 53,271.14
  5. Step 5: Solve for x
    x = 53,271.14/221.00
  6. Step 6: Final answer
    x = 241.05

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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.