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Finding the Fourth Proportional to 203.65, 280.94 and 129.94

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Solution

The fourth proportional to 203.65, 280.94 and 129.94 is: 179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.65 : 280.94 = 129.94 : x
  2. Step 2: Convert to fraction form
    203.65/280.94 = 129.94/x
  3. Step 3: Cross multiply
    203.65x = 280.94 × 129.94
  4. Step 4: Simplify right side
    203.65x = 36,503.99
  5. Step 5: Solve for x
    x = 36,503.99/203.65
  6. Step 6: Final answer
    x = 179.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.