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Finding the Fourth Proportional to 209.45, 312.46 and 178.81

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Solution

The fourth proportional to 209.45, 312.46 and 178.81 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.45 : 312.46 = 178.81 : x
  2. Step 2: Convert to fraction form
    209.45/312.46 = 178.81/x
  3. Step 3: Cross multiply
    209.45x = 312.46 × 178.81
  4. Step 4: Simplify right side
    209.45x = 55,869.74
  5. Step 5: Solve for x
    x = 55,869.74/209.45
  6. Step 6: Final answer
    x = 266.74

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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.