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Finding the Fourth Proportional to 209.71, 312.83 and 178.93

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Solution

The fourth proportional to 209.71, 312.83 and 178.93 is: 266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.71 : 312.83 = 178.93 : x
  2. Step 2: Convert to fraction form
    209.71/312.83 = 178.93/x
  3. Step 3: Cross multiply
    209.71x = 312.83 × 178.93
  4. Step 4: Simplify right side
    209.71x = 55,974.67
  5. Step 5: Solve for x
    x = 55,974.67/209.71
  6. Step 6: Final answer
    x = 266.91

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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.