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Finding the Fourth Proportional to 203.94, 279.72 and 189.36

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Solution

The fourth proportional to 203.94, 279.72 and 189.36 is: 259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.94 : 279.72 = 189.36 : x
  2. Step 2: Convert to fraction form
    203.94/279.72 = 189.36/x
  3. Step 3: Cross multiply
    203.94x = 279.72 × 189.36
  4. Step 4: Simplify right side
    203.94x = 52,967.78
  5. Step 5: Solve for x
    x = 52,967.78/203.94
  6. Step 6: Final answer
    x = 259.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.