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Finding the Fourth Proportional to 209.17, 312.20 and 185.14

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Solution

The fourth proportional to 209.17, 312.20 and 185.14 is: 276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.17 : 312.20 = 185.14 : x
  2. Step 2: Convert to fraction form
    209.17/312.20 = 185.14/x
  3. Step 3: Cross multiply
    209.17x = 312.20 × 185.14
  4. Step 4: Simplify right side
    209.17x = 57,800.71
  5. Step 5: Solve for x
    x = 57,800.71/209.17
  6. Step 6: Final answer
    x = 276.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.