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Finding the Fourth Proportional to 203.58, 305.48 and 95.36

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Solution

The fourth proportional to 203.58, 305.48 and 95.36 is: 143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.58 : 305.48 = 95.36 : x
  2. Step 2: Convert to fraction form
    203.58/305.48 = 95.36/x
  3. Step 3: Cross multiply
    203.58x = 305.48 × 95.36
  4. Step 4: Simplify right side
    203.58x = 29,129.28
  5. Step 5: Solve for x
    x = 29,129.28/203.58
  6. Step 6: Final answer
    x = 143.09

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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.