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Finding the Fourth Proportional to 203.45, 305.14 and 57.21

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Solution

The fourth proportional to 203.45, 305.14 and 57.21 is: 85.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.45 : 305.14 = 57.21 : x
  2. Step 2: Convert to fraction form
    203.45/305.14 = 57.21/x
  3. Step 3: Cross multiply
    203.45x = 305.14 × 57.21
  4. Step 4: Simplify right side
    203.45x = 17,457.06
  5. Step 5: Solve for x
    x = 17,457.06/203.45
  6. Step 6: Final answer
    x = 85.81

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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.