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Finding the Fourth Proportional to 202.99, 280.14 and 129.37

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Solution

The fourth proportional to 202.99, 280.14 and 129.37 is: 178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.99 : 280.14 = 129.37 : x
  2. Step 2: Convert to fraction form
    202.99/280.14 = 129.37/x
  3. Step 3: Cross multiply
    202.99x = 280.14 × 129.37
  4. Step 4: Simplify right side
    202.99x = 36,241.71
  5. Step 5: Solve for x
    x = 36,241.71/202.99
  6. Step 6: Final answer
    x = 178.54

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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.