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Finding the Fourth Proportional to 209.52, 289.10 and 125.51

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Solution

The fourth proportional to 209.52, 289.10 and 125.51 is: 173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.52 : 289.10 = 125.51 : x
  2. Step 2: Convert to fraction form
    209.52/289.10 = 125.51/x
  3. Step 3: Cross multiply
    209.52x = 289.10 × 125.51
  4. Step 4: Simplify right side
    209.52x = 36,283.50
  5. Step 5: Solve for x
    x = 36,283.50/209.52
  6. Step 6: Final answer
    x = 173.17

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