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Finding the Fourth Proportional to 209.77, 314.31 and 72.74

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Solution

The fourth proportional to 209.77, 314.31 and 72.74 is: 108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.77 : 314.31 = 72.74 : x
  2. Step 2: Convert to fraction form
    209.77/314.31 = 72.74/x
  3. Step 3: Cross multiply
    209.77x = 314.31 × 72.74
  4. Step 4: Simplify right side
    209.77x = 22,863.56
  5. Step 5: Solve for x
    x = 22,863.56/209.77
  6. Step 6: Final answer
    x = 108.99

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Why These Related Problems?

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