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Finding the Fourth Proportional to 203.19, 305.87 and 160.11

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Solution

The fourth proportional to 203.19, 305.87 and 160.11 is: 241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.19 : 305.87 = 160.11 : x
  2. Step 2: Convert to fraction form
    203.19/305.87 = 160.11/x
  3. Step 3: Cross multiply
    203.19x = 305.87 × 160.11
  4. Step 4: Simplify right side
    203.19x = 48,972.05
  5. Step 5: Solve for x
    x = 48,972.05/203.19
  6. Step 6: Final answer
    x = 241.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.