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Finding the Fourth Proportional to 203.66, 305.69 and 142.81

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Solution

The fourth proportional to 203.66, 305.69 and 142.81 is: 214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.66 : 305.69 = 142.81 : x
  2. Step 2: Convert to fraction form
    203.66/305.69 = 142.81/x
  3. Step 3: Cross multiply
    203.66x = 305.69 × 142.81
  4. Step 4: Simplify right side
    203.66x = 43,654.11
  5. Step 5: Solve for x
    x = 43,654.11/203.66
  6. Step 6: Final answer
    x = 214.35

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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.