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Finding the Fourth Proportional to 209.42, 288.94 and 125.39

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Solution

The fourth proportional to 209.42, 288.94 and 125.39 is: 173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.42 : 288.94 = 125.39 : x
  2. Step 2: Convert to fraction form
    209.42/288.94 = 125.39/x
  3. Step 3: Cross multiply
    209.42x = 288.94 × 125.39
  4. Step 4: Simplify right side
    209.42x = 36,228.74
  5. Step 5: Solve for x
    x = 36,228.74/209.42
  6. Step 6: Final answer
    x = 173.00

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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.