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Finding the Fourth Proportional to 203.59, 305.09 and 157.72

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Solution

The fourth proportional to 203.59, 305.09 and 157.72 is: 236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.59 : 305.09 = 157.72 : x
  2. Step 2: Convert to fraction form
    203.59/305.09 = 157.72/x
  3. Step 3: Cross multiply
    203.59x = 305.09 × 157.72
  4. Step 4: Simplify right side
    203.59x = 48,118.01
  5. Step 5: Solve for x
    x = 48,118.01/203.59
  6. Step 6: Final answer
    x = 236.35

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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.