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Finding the Fourth Proportional to 209.20, 312.04 and 178.52

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Solution

The fourth proportional to 209.20, 312.04 and 178.52 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.20 : 312.04 = 178.52 : x
  2. Step 2: Convert to fraction form
    209.20/312.04 = 178.52/x
  3. Step 3: Cross multiply
    209.20x = 312.04 × 178.52
  4. Step 4: Simplify right side
    209.20x = 55,705.38
  5. Step 5: Solve for x
    x = 55,705.38/209.20
  6. Step 6: Final answer
    x = 266.28

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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.