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Finding the Fourth Proportional to 209.37, 313.71 and 87.57

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Solution

The fourth proportional to 209.37, 313.71 and 87.57 is: 131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.37 : 313.71 = 87.57 : x
  2. Step 2: Convert to fraction form
    209.37/313.71 = 87.57/x
  3. Step 3: Cross multiply
    209.37x = 313.71 × 87.57
  4. Step 4: Simplify right side
    209.37x = 27,471.58
  5. Step 5: Solve for x
    x = 27,471.58/209.37
  6. Step 6: Final answer
    x = 131.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.