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Finding the Fourth Proportional to 202.98, 280.14 and 124.34

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Solution

The fourth proportional to 202.98, 280.14 and 124.34 is: 171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.98 : 280.14 = 124.34 : x
  2. Step 2: Convert to fraction form
    202.98/280.14 = 124.34/x
  3. Step 3: Cross multiply
    202.98x = 280.14 × 124.34
  4. Step 4: Simplify right side
    202.98x = 34,833.31
  5. Step 5: Solve for x
    x = 34,833.31/202.98
  6. Step 6: Final answer
    x = 171.61

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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.