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Finding the Fourth Proportional to 202.74, 280.02 and 129.12

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Solution

The fourth proportional to 202.74, 280.02 and 129.12 is: 178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.74 : 280.02 = 129.12 : x
  2. Step 2: Convert to fraction form
    202.74/280.02 = 129.12/x
  3. Step 3: Cross multiply
    202.74x = 280.02 × 129.12
  4. Step 4: Simplify right side
    202.74x = 36,156.18
  5. Step 5: Solve for x
    x = 36,156.18/202.74
  6. Step 6: Final answer
    x = 178.34

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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.